Sequences
392,541 sequences
- a(n) = A026907(2*n, n-2).A026911
a(n) = A026907(2*n, n-2).
- T(2n-1,n-1), T given by A026907.A026912
T(2n-1,n-1), T given by A026907.
- T(2n-1,n-2), T given by A026907.A026913
T(2n-1,n-2), T given by A026907.
- T(n,[ n/2 ]), T given by A026907.A026914
T(n,[ n/2 ]), T given by A026907.
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A026907.A026915
a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A026907.
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026907.A026916
a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026907.
- a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026907.A026917
a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026907.
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026907.A026918
Sum{T(n-k,k)}, 0<=k<=[ n/2 ], T given by A026907.
- Uniquification of A026907.A026919
Uniquification of A026907.
- Triangular array O by rows: O(n,k) = number of partitions of n into an odd number of parts, the greatest being k.A026920
Triangular array O by rows: O(n,k) = number of partitions of n into an odd number of parts, the greatest being k.
- Triangular array E by rows: E(n,k) = number of partitions of n into an even number of parts, the greatest being k.A026921
Triangular array E by rows: E(n,k) = number of partitions of n into an even number of parts, the greatest being k.
- Number of partitions of n into an odd number of parts, the greatest being 2; also, a(n+3) = number of partitions of n+1 into an even number of parts, each <=2.A026922
Number of partitions of n into an odd number of parts, the greatest being 2; also, a(n+3) = number of partitions of n+1 into an even number of parts, each <=2.
- Number of partitions of n into an odd number of parts, the greatest being 3; also, a(n+5) = number of partitions of n+2 into an even number of parts, each <= 3.A026923
Number of partitions of n into an odd number of parts, the greatest being 3; also, a(n+5) = number of partitions of n+2 into an even number of parts, each <= 3.
- Number of partitions of n into an odd number of parts, the greatest being 4; also, a(n+7) = number of partitions of n+3 into an even number of parts, each <=4.A026924
Number of partitions of n into an odd number of parts, the greatest being 4; also, a(n+7) = number of partitions of n+3 into an even number of parts, each <=4.
- Number of partitions of n into an odd number of parts, the greatest being 5; also, a(n+9) = number of partitions of n+4 into an even number of parts, each <=5.A026925
Number of partitions of n into an odd number of parts, the greatest being 5; also, a(n+9) = number of partitions of n+4 into an even number of parts, each <=5.
- Number of partitions of n into an odd number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an even number of parts, each <=6.A026926
Number of partitions of n into an odd number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an even number of parts, each <=6.
- Number of partitions of n into an even number of parts, the greatest being 3; also, a(n+5) = number of partitions of n+2 into an odd number of parts, each <= 3.A026927
Number of partitions of n into an even number of parts, the greatest being 3; also, a(n+5) = number of partitions of n+2 into an odd number of parts, each <= 3.
- Number of partitions of n into an even number of parts, the greatest being 4; also, a(n+7) = number of partitions of n+3 into an odd number of parts, each <=4.A026928
Number of partitions of n into an even number of parts, the greatest being 4; also, a(n+7) = number of partitions of n+3 into an odd number of parts, each <=4.
- Number of partitions of n into an even number of parts, the greatest being 5; also, a(n+9) = number of partitions of n+4 into an odd number of parts, each <=5.A026929
Number of partitions of n into an even number of parts, the greatest being 5; also, a(n+9) = number of partitions of n+4 into an odd number of parts, each <=5.
- Number of partitions of n into an even number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an odd number of parts, each <=6.A026930
Number of partitions of n into an even number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an odd number of parts, each <=6.
- Triangular array T read by rows: T(n,k) = number of partitions of n into an odd number of parts, each <= k.A026931
Triangular array T read by rows: T(n,k) = number of partitions of n into an odd number of parts, each <= k.
- Triangular array T read by rows: T(n,k) = number of partitions of n into an even number of parts, each <= k.A026932
Triangular array T read by rows: T(n,k) = number of partitions of n into an even number of parts, each <= k.
- Self-convolution of array T given by A008288.A026933
Self-convolution of array T given by A008288.
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A008288.A026934
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A008288.
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A008288.A026935
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A008288.
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A008288.A026936
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A008288.
- a(n) = Sum_{k=0..n} (k+1)*T(n, n-k), where T is given by A008288.A026937
a(n) = Sum_{k=0..n} (k+1)*T(n, n-k), where T is given by A008288.
- Greatest number in row of n array T given by A026300.A026938
Greatest number in row of n array T given by A026300.
- Self-convolution of array T given by A026300.A026939
Self-convolution of array T given by A026300.
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026300.A026940
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026300.
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026300.A026941
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026300.
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026300.A026942
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026300.
- a(n) = Sum_{k=0..n} (k+1) * T(n, k), with T given by A026300.A026943
a(n) = Sum_{k=0..n} (k+1) * T(n, k), with T given by A026300.
- E.g.f. is inverse function to y -> integral from 0 to y of exp(-s^2).A026944
E.g.f. is inverse function to y -> integral from 0 to y of exp(-s^2).
- A bisection of the Motzkin numbers A001006.A026945
A bisection of the Motzkin numbers A001006.
- Self-convolution of array T given by A026374.A026946
Self-convolution of array T given by A026374.
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026374.A026947
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026374.
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026374.A026948
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026374.
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026374.A026949
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026374.
- a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026374.A026950
a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026374.
- Self-convolution of array T given by A026386.A026951
Self-convolution of array T given by A026386.
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026386.A026952
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026386.
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026386.A026953
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026386.
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026386.A026954
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026386.
- a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026386.A026955
a(n) = Sum_{k=0..n} (k+1) * T(n,k), with T given by A026386.
- Self-convolution of array T given by A026615.A026956
Self-convolution of array T given by A026615.
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026615.A026957
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026615.
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026615.A026958
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026615.
- a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026615.A026959
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026615.
- a(n) = Sum_{k=0..n} (k+1) * A026615(n,k).A026960
a(n) = Sum_{k=0..n} (k+1) * A026615(n,k).