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A109614 n^3 followed by n followed by n^2. 2
1, 1, 1, 8, 2, 4, 27, 3, 9, 64, 4, 16, 125, 5, 25, 216, 6, 36, 343, 7, 49, 512, 8, 64, 729, 9, 81, 1000, 10, 100, 1331, 11, 121, 1728, 12, 144, 2197, 13, 169, 2744, 14, 196, 3375, 15, 225, 4096, 16, 256, 4913, 17, 289, 5832, 18, 324, 6859, 19, 361, 8000, 20, 400 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..3000

Index entries for linear recurrences with constant coefficients, signature (0,0,4,0,0,-6,0,0,4,0,0,-1).

FORMULA

a(n)=4*a(n-3)-6*a(n-6)+4*a(n-9)-a(n-12). G.f.: -(-1-x-x^2-4*x^3+2*x^4-x^6-x^7+x^8)/((x-1)^4*(1+x+x^2)^4). [From R. J. Mathar, Jun 26 2009]

MATHEMATICA

Table[{n^3, n, n^2}, {n, 20}]//Flatten (* or *) LinearRecurrence[{0, 0, 4, 0, 0, -6, 0, 0, 4, 0, 0, -1}, {1, 1, 1, 8, 2, 4, 27, 3, 9, 64, 4, 16}, 60] (* Harvey P. Dale, Feb 25 2016 *)

PROG

(Haskell)

import Data.List (transpose)

a109614 n = a109614_list !! (n-1)

a109614_list = concat $ transpose

               [tail a000578_list, a000027_list, tail a000290_list]

-- Reinhard Zumkeller, Mar 14 2014

CROSSREFS

Cf. A000463.

Cf. A000578, A000027, A000290.

Sequence in context: A008830 A248302 A217294 * A248301 A201583 A243370

Adjacent sequences:  A109611 A109612 A109613 * A109615 A109616 A109617

KEYWORD

nonn,easy,look

AUTHOR

Mohammad K. Azarian, Aug 30 2005

STATUS

approved

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Last modified December 8 04:27 EST 2016. Contains 278902 sequences.