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A167555 The third left hand column of triangle A167552. 5
2, 14, 63, 209, 559, 1281, 2618, 4902, 8568, 14168, 22385, 34047, 50141, 71827, 100452, 137564, 184926, 244530, 318611, 409661, 520443, 654005, 813694, 1003170, 1226420, 1487772, 1791909, 2143883, 2549129, 3013479, 3543176 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 3..1002

Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

FORMULA

a(n) = (14*n^5 - 115*n^4 + 400*n^3 - 665*n^2 + 486*n - 120)/5!.

G.f.: (z^3 + 9*z^2 + 2*z + 2)/(z-1)^6.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).

a(n) - 5*a(n-1) + 10*a(n-2) - 10*a(n-3) + 5*a(n-4) - a(n-5) = 2*7.

MATHEMATICA

LinearRecurrence[{6, -15, 20, -15, 6, -1}, {2, 14, 63, 209, 559, 1281}, 40] (* or *) Table[1/120*(66*n+95*n^2+40*n^3+25*n^4+14*n^5), {n, 40}] (* Harvey P. Dale, Mar 26 2012 *)

CROSSREFS

Equals the third left hand column of triangle A167552.

Other left hand columns are A005408, A167554, A168302 and A168303.

Sequence in context: A153332 A217154 A144657 * A222445 A181394 A266590

Adjacent sequences:  A167552 A167553 A167554 * A167556 A167557 A167558

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

STATUS

approved

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Last modified January 27 21:45 EST 2020. Contains 331297 sequences. (Running on oeis4.)