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A110652 n^2 followed by n^3 followed by n^4 followed by n. 1
1, 1, 1, 1, 4, 8, 16, 2, 9, 27, 81, 3, 16, 64, 256, 4, 25, 125, 625, 5, 36, 216, 1296, 6, 49, 343, 2401, 7, 64, 512, 4096, 8, 81, 729, 6561, 9, 100, 1000, 10000, 10, 121, 1331, 14641, 11, 144, 1728, 20736, 12, 169, 2197, 28561, 13, 196, 2744, 38416, 14, 225 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..4000

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

a(n) = (2*n+3-(-1)^n+2*(-1)^((2*n+5-(-1)^n)/4))*(n^3+7*n^2+35*n+129-(n^3-n^2+3*n-31)*(-1)^n-(n^3-n^2-29*n+1)*(-1)^((2*n+5-(-1)^n)/4)-(n^3+7*n^2+3*n-95)*(-1)^((2*n+7+(-1)^n)/4))/2048. - Luce ETIENNE, Aug 17 2016

G.f.: x*(1+x+x^2+x^3-x^4+3*x^5+11*x^6-3*x^7-x^8-3*x^9+11*x^10+3*x^11+x^12-x^13+x^14-x^15) / ((1-x)^5*(1+x)^5*(1+x^2)^5). - Colin Barker, Aug 18 2016

MATHEMATICA

Flatten[Table[{n^2, n^3, n^4, n}, {n, 40}]] (* Vincenzo Librandi, Feb 06 2013 *)

PROG

(MAGMA) &cat[[n^2, n^3, n^4, n]: n in [1..20]]; // Vincenzo Librandi, Feb 06 2013

(PARI) Vec(x*(1+x+x^2+x^3-x^4+3*x^5+11*x^6-3*x^7-x^8-3*x^9+11*x^10+3*x^11+x^12-x^13+x^14-x^15) / ((1-x)^5*(1+x)^5*(1+x^2)^5) + O(x^20)) \\ Colin Barker, Aug 18 2016

CROSSREFS

Cf. A000463, A109588, A109594.

Sequence in context: A103536 A011970 A111988 * A059373 A137798 A312754

Adjacent sequences:  A110649 A110650 A110651 * A110653 A110654 A110655

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Sep 14 2005

STATUS

approved

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Last modified June 19 13:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)