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

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: A246537 A057014 A334723 * 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