login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A028063
Expansion of 1/((1-3x)(1-5x)(1-7x)(1-12x)).
0
1, 27, 478, 7086, 95923, 1234761, 15440896, 189849132, 2311064965, 27967760535, 337282318594, 4059193972938, 48793580278327, 586108780927749, 7037421345862372, 84477944245876104, 1013937929024363209
OFFSET
0,2
FORMULA
a(0)=1, a(1)=27, a(2)=478, a(3)=7086, a(n)=27*a(n-1)-251*a(n-2)+ 957*a(n-3)- 1260*a(n-4) [From Harvey P. Dale, Aug 31 2011]
a(n)=(8*12^(n+3)-9*7^(n+4)+18*5^(n+4)-35*3^(n+3))/2520. [Yahia Kahloune, Jun 08 2013]
MATHEMATICA
CoefficientList[Series[1/((1-3x)(1-5x)(1-7x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{27, -251, 957, -1260}, {1, 27, 478, 7086}, 20] (* Harvey P. Dale, Aug 31 2011 *)
CROSSREFS
Sequence in context: A028114 A026727 A028048 * A024441 A026028 A026543
KEYWORD
nonn,easy
AUTHOR
STATUS
approved