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A226941 Expansion of 1/((1-x)(1-3x)(1-6x)(1-10x)(1-15x)). 0

%I #31 Aug 11 2020 01:38:56

%S 1,35,798,15178,262739,4310073,68451856,1065454016,16372593237,

%T 249520885471,3782278181474,57129692163414,860905800344695,

%U 12953222527379429,194694881199600852,2924389779305546572,43905519073297744313,658979550560400579147,9888661146758667705190

%N Expansion of 1/((1-x)(1-3x)(1-6x)(1-10x)(1-15x)).

%C Note that the denominator has 5 triangular numbers: 1, 3, 6, 10, and 15.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (35,-427,2193,-4500,2700).

%F a(n) = (15^(n+4) - 6*10^(n+4) + 14*6^(n+4) - 15*3^(n+4) + 6)/7560.

%F 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

%Y Column k = 4 of A080248. Cf. A003462, A016211, A021514.

%K nonn

%O 1,2

%A _Yahia Kahloune_, Jun 23 2013

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Last modified March 28 13:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)