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A168303 The fifth left hand column of triangle A167552. 5
24, 308, 2236, 11640, 47753, 163419, 485121, 1284987, 3101175, 6927921, 14502059, 28718989, 54217878, 98183330, 171418854, 289756194, 475873962, 761609034, 1190854830, 1823151902, 2738088199, 4040638965, 5867589455, 8395197525, 11848267665 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 5..1000

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

FORMULA

a(n) = (642*n^9 - 13833*n^8 + 132840*n^7 - 726642*n^6 + 2439738*n^5 - 5133177*n^4 + 6699660*n^3 - 5194188*n^2 + 2157840*n - 362880)/9!

G.f.: (z^5 + 53*z^4 + 260*z^3 + 236*z^2 + 68*z + 24)/(1-z)^10.

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10).

a(n) - 9*a(n-1) + 36*a(n-2) - 84*a(n-3) + 126*a(n-4) - 126*a(n-5) + 84*a(n-6) - 36*a(n-7) + 9*a(n-8) - a(n-9) = 2*321.

MATHEMATICA

LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {24, 308, 2236, 11640, 47753, 163419, 485121, 1284987, 3101175, 6927921}, 50] (* G. C. Greubel, Jul 17 2016 *)

PROG

(MAGMA) [(642*n^9-13833*n^8+132840*n^7-726642*n^6+ 2439738*n^5-5133177*n^4+6699660*n^3-5194188*n^2+ 2157840*n- 362880)/362880: n in [5..40]]; // Vincenzo Librandi, Jul 18 2016

CROSSREFS

Equals the fifth left hand column of triangle A167552.

Other left hand columns are A005408, A167554, A167555 and A168302.

Sequence in context: A187851 A125436 A096821 * A053215 A290939 A004413

Adjacent sequences:  A168300 A168301 A168302 * A168304 A168305 A168306

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 23 2009

STATUS

approved

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Last modified December 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)