A088889 Polynexus numbers of order 8.

0, 1, 26, 245, 1353, 5368, 17017, 45878, 109446, 237291, 476476, 898403, 1607255, 2750202, 4529539, 7216924, 11169884, 16850757, 24848238, 35901697, 50928437, 71054060, 97646109, 132351154, 177135490, 234329615

Offset

1,3

Links

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

X. Acloque, Polynexus Numbers and other mathematical wonders [dead link, domain owned by a domain grabber].

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

a(n) = ((n^8-(n-1)^8)-(n^4-(n-1)^4))/240 = ((n^8-(n-1)^8)-(n^4-(n-1)^4))/(2^8-2^4).

G.f.: x^2*(1+x)*(1+17*x+48*x^2+17*x^3+x^4)/(1-x)^8. - Bruno Berselli, Feb 10 2012

Mathematica

Table[((n^8 - (n - 1)^8) - (n^4 - (n - 1)^4))/240, {n, 26}] (* Bruno Berselli, Feb 10 2012 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 26, 245, 1353, 5368, 17017, 45878}, 30] (* Harvey P. Dale, Oct 31 2024 *)

Crossrefs

Cf. A079547, A083200, A088890, A088891, A088892, A088893, A088894.

Sequence in context: A275880 A020537 A184461 * A348490 A060105 A108645

Adjacent sequences: A088886 A088887 A088888 * A088890 A088891 A088892

Keyword

nonn,easy

Author

Xavier Acloque, Oct 21 2003

Extensions

First term added according to the formula from Bruno Berselli, Feb 10 2012

Status

approved