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A213829 Principal diagonal of the convolution array A213828. 4
2, 28, 114, 296, 610, 1092, 1778, 2704, 3906, 5420, 7282, 9528, 12194, 15316, 18930, 23072, 27778, 33084, 39026, 45640, 52962, 61028, 69874, 79536, 90050, 101452, 113778, 127064, 141346, 156660, 173042 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

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

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4).

G.f.: f(x)/g(x), where f(x) = 2*x*(1 + 10*x + 7*x^2) and g(x) = (1-x)^4.

MATHEMATICA

(See A213828.)

CROSSREFS

Cf. A213828.

Sequence in context: A281201 A051958 A123807 * A164834 A174707 A110241

Adjacent sequences:  A213826 A213827 A213828 * A213830 A213831 A213832

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jul 04 2012

STATUS

approved

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Last modified August 3 04:30 EDT 2020. Contains 336197 sequences. (Running on oeis4.)