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A126943 The sequence d[n] defined in A126939. 1
0, 0, 4, 14, 36, 116, 378, 1178, 3700, 11694, 36852, 116082, 365886, 1153178, 3634154, 11453184, 36095524, 113756584, 358508862, 1129858168, 3560801564, 11222032838, 35366766278, 111460034016, 351271552234, 1107048863804, 3488916716866, 10995485596894 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..27.

FORMULA

Empirical g.f.: -2*x^2*(x+1)*(x^2+x+2) / (x^6+3*x^5+3*x^4+7*x^3+x^2+2*x-1). - Colin Barker, Apr 08 2013

MATHEMATICA

a[0] = 0; a[1] = 0; a[2] = 4; a[3] = 14; a[4] = 36; a[5] = 116; a[n_] := a[n] = a[n-6] + 3*a[n-5] + 3*a[n-4] + 7*a[n-3] + a[n-2] + 2*a[n-1]; Table[a[n], {n, 0, 27}] (* Jean-Fran├žois Alcover, Nov 23 2016 *)

LinearRecurrence[{2, 1, 7, 3, 3, 1}, {0, 0, 4, 14, 36, 116}, 28] (* or *)

CoefficientList[ Series[-2x^2*(x + 1)*(x^2 + x + 2)/(x^6 + 3x^5 + 3x^4 + 7x^3 + x^2 + 2x - 1), {x, 0, 27}], x] (* Robert G. Wilson v, Nov 23 2016 *)

CROSSREFS

Sequence in context: A258343 A317148 A027166 * A209399 A192974 A187428

Adjacent sequences:  A126940 A126941 A126942 * A126944 A126945 A126946

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Mar 18 2007

STATUS

approved

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Last modified October 27 01:02 EDT 2020. Contains 338035 sequences. (Running on oeis4.)