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A245370 Number of compositions of n into parts 3, 5 and 9. 0
1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 3, 3, 3, 6, 5, 6, 11, 10, 13, 19, 19, 27, 35, 37, 52, 65, 74, 100, 121, 145, 192, 230, 282, 365, 440, 548, 695, 843, 1058, 1327, 1621, 2035, 2535, 3119, 3910, 4851, 5997, 7503, 9297, 11528, 14389, 17829, 22150, 27596, 34208, 42536, 52928, 65655, 81660, 101525, 126020, 156738, 194776, 241888 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Table of n, a(n) for n=0..64.

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

FORMULA

G.f.: 1/(1-x^3-x^5-x^9).

a(n) = a(n-3) + a(n-5) + a(n-9).

EXAMPLE

a(28)=100 The compositions of n into parts 3,5 and 9 are the permutations of (9955)(these are 4!/2!2!=6), (555553) (these are 6!/5!=6), (955333) (these are 6!/3!2!=60), (55333333) (these are 8!/6!2!=28).

PROG

(PARI) Vec( 1/(1-x^3-x^5-x^9) +O(x^66) ) \\ Joerg Arndt, Aug 24 2014

CROSSREFS

Cf. A079957, A245367, A245369.

Sequence in context: A240127 A109524 A191521 * A321341 A284549 A200779

Adjacent sequences:  A245367 A245368 A245369 * A245371 A245372 A245373

KEYWORD

nonn,easy

AUTHOR

David Neil McGrath, Aug 24 2014

STATUS

approved

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Last modified September 19 14:43 EDT 2019. Contains 327198 sequences. (Running on oeis4.)