

A211388


Expansion of 1/((12*x)^6*(1x)).


3



1, 13, 97, 545, 2561, 10625, 40193, 141569, 471041, 1496065, 4571137, 13516801, 38862849, 109051905, 299565057, 807600129, 2141192193, 5592842241, 14413725697, 36698062849, 92408905729, 230359564289, 568965726209, 1393398120449
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OFFSET

0,2


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
M. H. Albert, M. D. Atkinson, R. Brignall, The enumeration of three pattern classes using monotone grid classes, El. J. Combinat. 19 (3) (2012) P20. Section 5.5.1
Harry Crane, Leftright arrangements, set partitions, and pattern avoidance, Australasian Journal of Combinatorics, 61(1) (2015), 5772.
Index entries for linear recurrences with constant coefficients, signature (13,72,220,400,432,256,64).


FORMULA

a(n) = 1 + 2^(n2)*n*(n^4 + 10*n^3 + 55*n^2 + 110*n + 184)/15.  Bruno Berselli, Feb 08 2013
A211386(n) = a(n)  2*a(n1).  R. J. Mathar, Feb 08 2013


MATHEMATICA

CoefficientList[Series[1 / ((1  2 x)^6 (1  x)), {x, 0, 30}], x] (* Vincenzo Librandi, Sep 10 2013 *)


PROG

(MAGMA) m:=24; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((12*x)^6*(1x)))); // Bruno Berselli, Feb 08 2013


CROSSREFS

Cf. A054849 (first differences).
Sequence in context: A141894 A275879 A160554 * A125350 A049294 A198480
Adjacent sequences: A211385 A211386 A211387 * A211389 A211390 A211391


KEYWORD

nonn,easy


AUTHOR

R. J. Mathar, Feb 07 2013


STATUS

approved



