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A213748 Principal diagonal of the convolution array A213747. 3
1, 16, 125, 758, 4071, 20424, 98185, 458506, 2096651, 9436172, 41941005, 184545294, 805298191, 3489644560, 15032352785, 64424443922, 274877775891, 1168230842388, 4947801800725, 20890719879190, 87960928124951 (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 (12,-53,106,-96,32).

FORMULA

a(n) = 12*a(n-1) - 53*a(n-2) + 106*a(n-3) - 96*a(n-4) + 32*a(n-5).

G.f.:  f(x)/g(x), where f(x) = x*(1 + 4*x - 14*x^2) and g(x) = (1 - 2*x)*(1 - 5*x + 4*x^2)^2.

a(n) = 2 - 2^n + 4^n*(n-1) + n. - Colin Barker, Nov 07 2017

MATHEMATICA

(See A213747.)

LinearRecurrence[{12, -53, 106, -96, 32}, {1, 16, 125, 758, 4071}, 30] (* Harvey P. Dale, Aug 15 2012 *)

CROSSREFS

Cf. A213747, A213500.

Sequence in context: A067442 A000485 A264625 * A007787 A067470 A133111

Adjacent sequences:  A213745 A213746 A213747 * A213749 A213750 A213751

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 19 2012

STATUS

approved

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Last modified February 21 23:44 EST 2019. Contains 320381 sequences. (Running on oeis4.)