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A213830 Antidiagonal sums of the convolution array A213828. 3
2, 18, 78, 230, 540, 1092, 1988, 3348, 5310, 8030, 11682, 16458, 22568, 30240, 39720, 51272, 65178, 81738, 101270, 124110, 150612, 181148, 216108, 255900, 300950, 351702, 408618, 472178, 542880, 621240 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every term is even.

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) = (2*n + n^2 + 2*n^3 + 3*n^4)/4.

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) = 2*x*(1 + 4*x + 4*x^2) and g(x) = (1-x)^5.

MATHEMATICA

(See A213828.)

LinearRecurrence[{5, -10, 10, -5, 1}, {2, 18, 78, 230, 540}, 30] (* Harvey P. Dale, Jan 11 2015 *)

CROSSREFS

Cf. A213828.

Sequence in context: A034473 A024171 A056664 * A323947 A064057 A176496

Adjacent sequences:  A213827 A213828 A213829 * A213831 A213832 A213833

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 04 2012

STATUS

approved

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Last modified August 3 05:55 EDT 2020. Contains 336197 sequences. (Running on oeis4.)