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A226941
Expansion of 1/((1-x)(1-3x)(1-6x)(1-10x)(1-15x)).
0
1, 35, 798, 15178, 262739, 4310073, 68451856, 1065454016, 16372593237, 249520885471, 3782278181474, 57129692163414, 860905800344695, 12953222527379429, 194694881199600852, 2924389779305546572, 43905519073297744313, 658979550560400579147, 9888661146758667705190
OFFSET
1,2
COMMENTS
Note that the denominator has 5 triangular numbers: 1, 3, 6, 10, and 15.
FORMULA
a(n) = (15^(n+4) - 6*10^(n+4) + 14*6^(n+4) - 15*3^(n+4) + 6)/7560.
a(n) = 35*a(n-1) - 427*a(n-2) + 2193*a(n-3) - 4500*a(n-4) + 2700*a(n-5) for n > 5. - Chai Wah Wu, Aug 10 2020
CROSSREFS
Column k = 4 of A080248. Cf. A003462, A016211, A021514.
Sequence in context: A066553 A137309 A028024 * A249883 A249884 A223957
KEYWORD
nonn
AUTHOR
Yahia Kahloune, Jun 23 2013
STATUS
approved