Sequences

392,541 sequences

Self-convolution of array T given by A026626.A026961
Self-convolution of array T given by A026626.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026626.A026962
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026626.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026626.A026963
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026626.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026626.A026964
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026626.
a(n) = Sum_{k=0..n} (k+1) * A026626(n,k).A026965
a(n) = Sum_{k=0..n} (k+1) * A026626(n,k).
Self-convolution of array T given by A026637.A026966
Self-convolution of array T given by A026637.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026637.A026967
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026637.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026637.A026968
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026637.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026637.A026969
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026637.
a(n) = Sum_{k=0..n} (k+1) * A026637(n,k).A026970
a(n) = Sum_{k=0..n} (k+1) * A026637(n,k).
Self-convolution of array T given by A026648.A026971
Self-convolution of array T given by A026648.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026648.A026972
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026648.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026648.A026973
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026648.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026648.A026974
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026648.
a(n) = Sum_{k=0..n} (k+1) * A026648(n,k).A026975
a(n) = Sum_{k=0..n} (k+1) * A026648(n,k).
Self-convolution of array T given by A026659.A026976
Self-convolution of array T given by A026659.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026659.A026977
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026659.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026659.A026978
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026659.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026659.A026979
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026659.
a(n) = Sum_{k=0..n} (k+1) * A026659(n,k).A026980
a(n) = Sum_{k=0..n} (k+1) * A026659(n,k).
Self-convolution of array T given by A026670.A026981
Self-convolution of array T given by A026670.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026670.A026982
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026670.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026670.A026983
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026670.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026670.A026984
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026670.
a(n) = Sum_{k=0..n} (k+1) * A026670(n, k).A026985
a(n) = Sum_{k=0..n} (k+1) * A026670(n, k).
Self-convolution of array T given by A026681.A026986
Self-convolution of array T given by A026681.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026681.A026987
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026681.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026681.A026988
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026681.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026681.A026989
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026681.
a(n) = Sum_{k=0..n} (k+1) * A026681(n, k).A026990
a(n) = Sum_{k=0..n} (k+1) * A026681(n, k).
Self-convolution of array T given by A026692.A026991
Self-convolution of array T given by A026692.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026692.A026992
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026692.
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026692.A026993
a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026692.
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026692.A026994
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A026692.
a(n) = Sum_{k=0..n} (k+1) * A026692(n, k).A026995
a(n) = Sum_{k=0..n} (k+1) * A026692(n, k).
Self-convolution of array T given by A026703.A026996
Self-convolution of array T given by A026703.
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026703.A026997
a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026703.
Triangular array T read by rows: T(n, k) = t(n, 2k), t given by A027960, 0 <= k <= n, n >= 0.A026998
Triangular array T read by rows: T(n, k) = t(n, 2k), t given by A027960, 0 <= k <= n, n >= 0.
Uniquification of A026998.A026999
Uniquification of A026998.
a(n) = Lucas(2*n+3) - (6*n+4).A027000
a(n) = Lucas(2*n+3) - (6*n+4).
a(n) = T(2*n, n+2), T given by A026998.A027001
a(n) = T(2*n, n+2), T given by A026998.
a(n) = T(2*n, n+3), T given by A026998.A027002
a(n) = T(2*n, n+3), T given by A026998.
a(n) = A026998(2*n, n+4).A027003
a(n) = A026998(2*n, n+4).
a(n) = T(2*n+1,n+1), T given by A026998.A027004
a(n) = T(2*n+1,n+1), T given by A026998.
a(n) = T(2*n+1,n+2), T given by A026998.A027005
a(n) = T(2*n+1,n+2), T given by A026998.
a(n) = T(2*n+1, n+3), T given by A026998.A027006
a(n) = T(2*n+1, n+3), T given by A026998.
a(n) = A026998(2n+1, n+4).A027007
a(n) = A026998(2n+1, n+4).
a(n) = greatest number in row n of array T given by A026998.A027008
a(n) = greatest number in row n of array T given by A026998.
a(n) = Sum_{k=floor((n+2)/2)..n} T(n, k), T given by A026998.A027009
a(n) = Sum_{k=floor((n+2)/2)..n} T(n, k), T given by A026998.
a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is the n-th diagonal sum of left-justified array T given by A026998.A027010
a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is the n-th diagonal sum of left-justified array T given by A026998.