A016798 - OEIS

A016798

a(n) = (3*n + 2)^10.

1024, 9765625, 1073741824, 25937424601, 289254654976, 2015993900449, 10240000000000, 41426511213649, 141167095653376, 420707233300201, 1125899906842624, 2758547353515625, 6278211847988224, 13422659310152401, 27197360938418176, 52599132235830049

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OFFSET

0,1

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

From Harvey P. Dale, Nov 28 2014: (Start)

G.f.: -(1/((x-1)^11))(x^10+1048565*x^9+270940968*x^8+6950443776*x^7+ 43221615834*x^6+86805830970*x^5+61387794480*x^4+14663204952*x^3+ 966376269*x^2+9754361*x+1024).

a(n) = 59049*n^10 + 393660*n^9 + 1180980*n^8 + 2099520*n^7 + 2449440*n^6 + 1959552*n^5 + 1088640*n^4 + 414720*n^3 + 103680*n^2 + 15360*n + 1024. [corrected by Amiram Eldar, Mar 31 2022] (End)

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016789(n)^10 = A016790(n)^5 = A016793(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(9, 2/3)/21427701120. (End)

a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11). - Wesley Ivan Hurt, Dec 31 2023

MATHEMATICA

(3*Range[0, 20]+2)^10 (* Harvey P. Dale, Nov 28 2014 *)

CROSSREFS

Cf. A016789, A016790, A016791, A016792, A016793, A016794, A016795.

Subsequence of A008454.

Sequence in context: A223355 A222142 A185564 * A330485 A016834 A103717

Adjacent sequences: A016795 A016796 A016797 * A016799 A016800 A016801

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved