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A088893 Polynexus numbers of order 15. 6
0, 1, 437, 32338, 898774, 13420861, 130567049, 929084572, 5210829060, 24240197433, 96985597357, 342789175982, 1092151142842, 3186269918917, 8618003504977, 21826239750488, 52182586901800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Bruno Berselli, Table of n, a(n) for n = 1..1000

X. Acloque, Polynexus Numbers and other mathematical wonders [broken link]

Index entries for linear recurrences with constant coefficients, signature (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003,1365,-455,105,-15,1).

FORMULA

a(n) = ((n^15-(n-1)^15)-(n^3-(n-1)^3))/32760 = ((n^15-(n-1)^15)-(n^3-(n-1)^3))/(2^15-2^3).

G.f.: x^2*(1+422*x+25888*x^2+459134*x^3+3137271*x^4+9505116*x^5+13661136*x^6+9505116*x^7+3137271*x^8+459134*x^9+25888*x^10+422*x^11+x^12)/(1-x)^15. - Bruno Berselli, Feb 08 2012

MATHEMATICA

Table[((n^15 - (n - 1)^15) - (n^3 - (n - 1)^3))/32760, {n, 20}] (* Bruno Berselli, Feb 08 2012 *)

CROSSREFS

Cf. A079547, A083200, A088889, A088890, A088891, A088892, A088894.

Sequence in context: A190828 A084293 A237939 * A043447 A006911 A222877

Adjacent sequences:  A088890 A088891 A088892 * A088894 A088895 A088896

KEYWORD

nonn,easy

AUTHOR

Xavier Acloque, Oct 21 2003

EXTENSIONS

First term added according to the formula from Bruno Berselli, Feb 08 2012

STATUS

approved

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Last modified May 27 12:58 EDT 2022. Contains 354097 sequences. (Running on oeis4.)