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A167582

The third left hand column of triangle A167580.

3, 98, 1080, 7568, 40976, 187488, 761600, 2830848, 9821952, 32254464, 101263360, 306229248, 897175552, 2558058496, 7123894272, 19434569728, 52063567872, 137236709376, 356550967296, 914355126272, 2317328842752

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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*(14*n^5 - 95*n^4 + 240*n^3 - 280*n^2 + 151*n - 30)/240.

GF(z) = (8*z^3 + 84*z^2 + 62*z + 3)/(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-1).

MATHEMATICA

LinearRecurrence[{12, -60, 160, -240, 192, -64}, {3, 98, 1080, 7568, 40976, 187488}, 100] (* G. C. Greubel, Jun 16 2016 *)

CROSSREFS

Equals the third left hand column of triangle A167580.

Other left hand columns are A014480, A167581, A168305 and A168306.

Sequence in context: A057014 A334723 A389354 * A068420 A276188 A180350

Adjacent sequences: A167579 A167580 A167581 * A167583 A167584 A167585

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

EXTENSIONS

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

STATUS

approved

URL: https://oeis.org/A167582

⇱ A167582 - OEIS