A016888 - OEIS

A016888

a(n) = (5n + 3)^4.

81, 4096, 28561, 104976, 279841, 614656, 1185921, 2085136, 3418801, 5308416, 7890481, 11316496, 15752961, 21381376, 28398241, 37015056, 47458321, 59969536, 74805201, 92236816, 112550881, 136048896

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

FORMULA

G.f.: (-81-3691*x-8891*x^2-2321*x^3-16*x^4)/(-1+x)^5. - Harvey P. Dale, Jul 12 2022

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - Wesley Ivan Hurt, Jan 02 2024

MATHEMATICA

(5Range[0, 30]+3)^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {81, 4096, 28561, 104976, 279841}, 30] (* Harvey P. Dale, Jul 12 2022 *)

CROSSREFS

Sequence in context: A053108 A237100 A245665 * A205238 A006312 A183962

Adjacent sequences: A016885 A016886 A016887 * A016889 A016890 A016891

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved