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A025770 Expansion of 1/((1-x)(1-x^3)(1-x^10)). 0
1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 37, 38, 40, 42, 43, 45, 47, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 75, 77, 79, 82, 84, 86, 89, 91, 93, 96, 99, 101, 104, 107, 109, 112, 115, 117, 120, 123, 126, 129 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Number of partitions of n into parts 1, 3, and 10. - Joerg Arndt, May 05 2014
LINKS
Index entries for linear recurrences with constant coefficients, signature (1, 0, 1, -1, 0, 0, 0, 0, 0, 1, -1, 0, -1, 1).
FORMULA
a(n) = floor((3*n^2+42*n+196-40*cos(2*(n+1)*Pi/3))/180). - Tani Akinari, May 03 2014
a(n)= +a(n-1) +a(n-3) -a(n-4) +a(n-10) -a(n-11) -a(n-13) +a(n-14). - R. J. Mathar, Aug 21 2014
PROG
(PARI) Vec( 1/((1-x)*(1-x^3)*(1-x^10)) +O(x^66) ) \\ Joerg Arndt, May 05 2014
CROSSREFS
Sequence in context: A253144 A265410 A029249 * A342098 A283875 A099773
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 11 1999
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)