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A029285 Expansion of 1/((1-x^3)(1-x^5)(1-x^8)(1-x^12)). 1
1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 3, 5, 5, 4, 6, 7, 6, 7, 8, 8, 9, 10, 9, 12, 12, 11, 14, 15, 14, 16, 17, 18, 19, 20, 20, 23, 24, 23, 26, 29, 27, 30, 32, 32, 35, 36, 36, 41, 41, 41, 45, 48, 47, 50, 53, 54 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Number of partitions of n into parts 3, 5, 8, and 12. - Vincenzo Librandi, Jun 04 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence, J. Integer Sequences, Vol. 10 (2007), #07.1.2.

F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and Allan Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [pdf, ps].

Index entries for sequences related to Gijswijt's sequence

MAPLE

M := Matrix(28, (i, j)-> if (i=j-1) or (j=1 and member(i, [3, 5, 12, 16, 23, 25])) then 1 elif j=1 and member(i, [11, 13, 15, 17, 28]) then -1 else 0 fi); a := n -> (M^(n))[1, 1]; seq (a(n), n=0..64); # Alois P. Heinz, Jul 25 2008

MATHEMATICA

CoefficientList[Series[1/((1-x^3)(1-x^5)(1-x^8)(1-x^12)), {x, 0, 80}], x]  (* Harvey P. Dale, Mar 27 2011 *)

CROSSREFS

Sequence in context: A298604 A190353 A025829 * A134337 A261733 A268341

Adjacent sequences:  A029282 A029283 A029284 * A029286 A029287 A029288

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 24 21:16 EDT 2019. Contains 324337 sequences. (Running on oeis4.)