A110650 n^2 followed by n^4 followed by n followed by n^3.

1, 1, 1, 1, 4, 16, 2, 8, 9, 81, 3, 27, 16, 256, 4, 64, 25, 625, 5, 125, 36, 1296, 6, 216, 49, 2401, 7, 343, 64, 4096, 8, 512, 81, 6561, 9, 729, 100, 10000, 10, 1000, 121, 14641, 11, 1331, 144, 20736, 12, 1728, 169, 28561, 13, 2197, 196, 38416, 14, 2744, 225, 50625

Offset: 1

Author

Mohammad K. Azarian, Sep 14 2005

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..8000

Crossrefs

Cf. A000463; A109588; A109594.

Cf. A010873.

Programs

GAP

Flat(List([1..20],n->[n^2,n^4,n,n^3])); # Muniru A Asiru, Apr 08 2018

Magma

&cat[[n^2, n^4, n, n^3]: n in [1..20]]; // Vincenzo Librandi, Nov 25 2012

Mathematica

Flatten[Table[{n^2,n^4,n,n^3},{n,20}]] (* Harvey P. Dale, Oct 10 2012 *)

Formula

a(n) = floor((n+3)/4)^((-8*(n mod 4)^3 + 33*(n mod 4)^2 - 31*(n mod 4) + 18)/6). - Luce ETIENNE, Apr 07 2018

From Chai Wah Wu, Jan 10 2020: (Start)

a(n) = 5*a(n-4) - 10*a(n-8) + 10*a(n-12) - 5*a(n-16) + a(n-20) for n > 20.

G.f.: x*(x^15 + x^14 - x^13 - x^12 + 3*x^11 - 3*x^10 - 11*x^9 + x^8 - 3*x^7 + 3*x^6 - 11*x^5 + x^4 - x^3 - x^2 - x - 1)/((x - 1)^5*(x + 1)^5*(x^2 + 1)^5). (End)