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A017200
a(n) = (9*n+3)^4.
1
81, 20736, 194481, 810000, 2313441, 5308416, 10556001, 18974736, 31640625, 49787136, 74805201, 108243216, 151807041, 207360000, 276922881, 362673936, 466948881, 592240896, 741200625, 916636176
OFFSET
0,1
FORMULA
a(n) = A000583(A017197(n)). - Michel Marcus, Nov 06 2015
a(n) = 81*A016780(n). - Michel Marcus, Nov 06 2015
From Ilya Gutkovskiy, Jun 16 2016: (Start)
G.f.: 81*(1 + 251*x + 1131*x^2 + 545*x^3 + 16*x^4)/(1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)
MATHEMATICA
Table[(9n+3)^4, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
LinearRecurrence[{5, -10, 10, -5, 1}, {81, 20736, 194481, 810000, 2313441}, 20] (* Harvey P. Dale, May 26 2023 *)
PROG
(Magma) [(9*n+3)^4: n in [0..30]]; // Vincenzo Librandi, Jul 23 2011
CROSSREFS
Cf. A000583 (n^4), A016780 ((3n+1)^4), A017197 (9n+3).
Sequence in context: A013829 A100533 A088063 * A017308 A017428 A195274
KEYWORD
nonn,easy
AUTHOR
STATUS
approved