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A110622 n^2 followed by n followed by n^3 followed by n^4. 2
1, 1, 1, 1, 4, 2, 8, 16, 9, 3, 27, 81, 16, 4, 64, 256, 25, 5, 125, 625, 36, 6, 216, 1296, 49, 7, 343, 2401, 64, 8, 512, 4096, 81, 9, 729, 6561, 100, 10, 1000, 10000, 121, 11, 1331, 14641, 144, 12, 1728, 20736, 169, 13, 2197, 28561, 196, 14, 2744, 38416, 225, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

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

FORMULA

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

G.f.: -x*(1+x+x^2+x^3-x^4-3*x^5+3*x^6+11*x^7-x^8+3*x^9-3*x^10+11*x^11+x^12-x^13-x^14+x^15) / ( (x-1)^5*(1+x)^5*(x^2+1)^5 ). - R. J. Mathar, Dec 20 2010

a(n) = (2*n+3-(-1)^n+2*(-1)^((2*n+5-(-1)^n)/4))*(n^3+4*n^2+24*n+116+(n^3-4*n^2-24*n+12)*(-1)^n-(n^3+4*n^2-8*n-108)*(-1)^((2*n+5-(-1)^n)/4)+(n^3-4*n^2+8*n-20)*(-1)^((2*n+7+(-1)^n)/4))/2048. - Luce ETIENNE, Sep 02 2016

MATHEMATICA

Flatten[Table[{n^2, n, n^3, n^4}, {n, 40}]] (* Vincenzo Librandi, Nov 25 2012 *)

PROG

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

CROSSREFS

Cf. A000463, A109588, A109594.

Sequence in context: A225872 A231777 A288181 * A130078 A230900 A204449

Adjacent sequences:  A110619 A110620 A110621 * A110623 A110624 A110625

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Sep 14 2005

STATUS

approved

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Last modified January 17 12:45 EST 2020. Contains 330958 sequences. (Running on oeis4.)