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A167593 The third left hand column of triangle A167591. 5
9, 120, 952, 5664, 27888, 120064, 467712, 1686528, 5719296, 18450432, 57108480, 170713088, 495366144, 1401028608, 3874881536, 10508304384, 28005433344, 73485778944, 190154539008, 485895438336, 1227495571456 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 3..1000

Index entries for linear recurrences with constant coefficients, signature (12,-60,160,-240,192,-64).

FORMULA

a(n) = 2^n*(7*n^5 - 40*n^4 + 110*n^3 - 155*n^2 + 78*n)/240.

GF(z) = (52*z^2 + 12*z + 9)/(1-2*z)^6.

a(n) = 12*a(n-1) - 60*a(n-2) + 160*a(n-3) - 240*a(n-4) + 192*a(n-5) - 64*a(n-6).

a(n) - 11*a(n-1) + 50*a(n-2) - 120*a(n-3) + 160*a(n-4) - 112*a(n-5) + 32*a(n-6) = 7*2^(n-2).

MATHEMATICA

LinearRecurrence[{12, -60, 160, -240, 192, -64}, {9, 120, 952, 5664, 27888, 120064}, 100] (* G. C. Greubel, Jun 17 2016 *)

CROSSREFS

Equals the third left hand column of A167591.

Other left hand columns are A001787, A167592, A168307 and A168308.

Sequence in context: A054051 A159660 A061172 * A214698 A024487 A002691

Adjacent sequences:  A167590 A167591 A167592 * A167594 A167595 A167596

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

EXTENSIONS

Formulae and links added by Johannes W. Meijer, Nov 23 2009

STATUS

approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)