A110005 n followed by n^2 followed by n^4 followed by n^3.

1, 1, 1, 1, 2, 4, 16, 8, 3, 9, 81, 27, 4, 16, 256, 64, 5, 25, 625, 125, 6, 36, 1296, 216, 7, 49, 2401, 343, 8, 64, 4096, 512, 9, 81, 6561, 729, 10, 100, 10000, 1000, 11, 121, 14641, 1331, 12, 144, 20736, 1728, 13, 169, 28561, 2197, 14, 196, 38416, 2744, 15, 225

Offset

1,5

Links

Table of n, a(n) for n=1..58.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 5, 0, 0, 0, -10, 0, 0, 0, 10, 0, 0, 0, -5, 0, 0, 0, 1).

Formula

G.f.: x*(-1 -x -x^2 -x^3 +3*x^4 +x^5 -11*x^6 -3*x^7 -3*x^8 +x^9 -11*x^10 +3*x^11 +x^12 -x^13 -x^14 +x^15) / ( (x-1)^5 *(1+x)^5 *(x^2+1)^5 ). - R. J. Mathar, Sep 10 2016

a(n) = floor((n+3)/4)^((-2*(n mod 4)^3 + 15*(n mod 4)^2 -25*(n mod 4) +18)/6). - Luce ETIENNE, Apr 07 2018

Mathematica

Table[{n, n^2, n^4, n^3}, {n, 20}]//Flatten (* Harvey P. Dale, Jan 12 2020 *)

Crossrefs

Cf. A000463; A109588; A109594.

Cf. A010873.

Sequence in context: A338839 A350554 A094670 * A019540 A109584 A352217

Adjacent sequences: A110002 A110003 A110004 * A110006 A110007 A110008

Keyword

nonn

Author

Mohammad K. Azarian, Sep 02 2005

Status

approved