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A213834 Antidiagonal sums of the convolution array A213833. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 6 11:55 EDT 2020. Contains 336246 sequences. (Running on oeis4.)