A213834 Antidiagonal sums of the convolution array A213833.

1, 10, 46, 140, 335, 686, 1260, 2136, 3405, 5170, 7546, 10660, 14651, 19670, 25880, 33456, 42585, 53466, 66310, 81340, 98791, 118910, 141956, 168200, 197925, 231426, 269010, 310996, 357715, 409510, 466736

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = n*(n+1)*(3*n^2 - 2*n + 2)/6.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: f(x)/g(x), where f(x) = x*(1 + 2*x)(1 + 3*x) and g(x) = (1-x)^5.

Mathematica

(See A213833.)

Crossrefs

Cf. A213833.

Sequence in context: A081583 A244246 A288117 * A241084 A106600 A085437

Adjacent sequences: A213831 A213832 A213833 * A213835 A213836 A213837

Keyword

nonn,easy

Author

Clark Kimberling, Jul 04 2012

Status

approved