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A351724
Number of compositions of n into parts of size 1, 5, 10 or 25.
1
1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 9, 13, 18, 24, 31, 42, 58, 80, 109, 146, 197, 268, 366, 499, 676, 916, 1243, 1690, 2299, 3122, 4237, 5751, 7811, 10614, 14418, 19580, 26587, 36106, 49043, 66614, 90473, 122869, 166866, 226632, 307810, 418060, 567784, 771122, 1047296, 1422396, 1931845
OFFSET
0,6
COMMENTS
Starts to differ from A114044 at n=50.
LINKS
FORMULA
G.f. : 1/(1-x-x^5-x^10-x^25).
a(n) = +a(n-1) +a(n-5) +a(n-10) +a(n-25).
EXAMPLE
a(8)=5 counts 5 compositions 1+1+1+1+1+1+1+1 = 1+1+1+5 = 1+1+5+1 = 1+5+1+1 = 5+1+1+1.
CROSSREFS
Cf. A114044 (parts 50 and 100 admitted), A001299 (partitions).
Row sums of A351726.
Sequence in context: A255362 A017833 A114044 * A113444 A228669 A308020
KEYWORD
nonn,easy
AUTHOR
R. J. Mathar, Feb 17 2022
STATUS
approved