37633

Properties

Appears in sequences

• Number of "sets of lists": number of partitions of {1,...,n} into any number of lists, where a list means an ordered subset.at n=7A000262
• A variant of the cuban primes: primes p = (x^3 - y^3)/(x - y) where x = y + 2.at n=19A002648
• a(2n)=2*a(2n-2)^2-1, a(2n+1)=2*a(2n)-1, a(0)=2.at n=7A006695
• Sum along upward diagonal of Pascal triangle to center.at n=23A010752
• Sum along upward diagonal of Pascal triangle up to (but not including) center.at n=23A010753
• Smallest side lengths of almost-equilateral Heronian triangles (sides are consecutive positive integers, area is a nonnegative integer).at n=8A016064
• T(n,0) + T(n,1) + ... + T(n,n), T given by A026670.at n=14A026677
• a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026670.at n=15A026678
• a(n) = Sum_{k=0..floor(n/2)} T(n,k), T given by A026725.at n=15A026733
• Primes of form k^2 - 3.at n=31A028874
• T(n,n-4), array T as in A038738.at n=7A038741
• a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049735.at n=32A049738
• Convolution of (shifted) A026671 with A000984 (central binomial coefficients of even order).at n=8A054441
• Denominators of continued fraction for alternating factorial.at n=13A056953
• Numbers k such that x^k + x^4 + 1 is irreducible over GF(2).at n=15A057463
• Triangle T = A007318*A271703; T(n,m)= Sum_{i=0..n} L'(n,i)*binomial(i,m), m=0..n.at n=28A059110
• Triangle T(n,m)= Sum_{i=0..n} L'(n,i)*Product_{j=1..m} (i-j+1), read by rows.at n=28A059114
• Triangle read by rows, T(n, k) = Sum_{i=0..n} L'(n, n-i) * binomial(i, k), for k = 0..n-1.at n=21A059374
• Numerators of the coefficients in exp(x/(1-x)) power series.at n=7A067764
• Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=26A086885