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 A029137 Expansion of 1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^7)). 0
 1, 0, 1, 1, 2, 1, 3, 3, 4, 4, 6, 6, 8, 8, 11, 11, 14, 14, 18, 18, 22, 23, 27, 28, 33, 34, 39, 41, 47, 48, 55, 57, 64, 66, 74, 77, 85, 88, 97, 101, 110, 114, 125, 129, 140, 145, 157, 162, 175, 181, 194, 201, 215, 222, 237, 245, 261, 269, 286, 295, 313, 322 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Number of partitions of n into parts 2, 3, 4, and 7. - Joerg Arndt, Jun 01 2014 LINKS Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,-1,-1,0,0,0,-1,-1,1,1,1,0,-1). FORMULA G.f.: 1 / ((x-1)^4*(x+1)^2*(x^2+1)*(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)). - Colin Barker, Jun 01 2014 MATHEMATICA CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^7)), {x, 0, 60}], x] (* Harvey P. Dale, Aug 29 2011 *) PROG (PARI) a(n)=round((n+8)*(2*n^2+32*n+89+63*(-1)^n)/2016+(1-n%3)/9) \\ Tani Akinari, Jun 01 2014 (PARI) Vec(1/((x-1)^4*(x+1)^2*(x^2+1)*(x^2+x+1)*(x^6+x^5+x^4+x^3+x^2+x+1)) + O(x^100)) \\ Colin Barker, Jun 01 2014 CROSSREFS Sequence in context: A049786 A282611 A187498 * A323054 A339396 A027157 Adjacent sequences:  A029134 A029135 A029136 * A029138 A029139 A029140 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Colin Barker, Jun 01 2014 STATUS approved

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Last modified June 20 13:10 EDT 2021. Contains 345164 sequences. (Running on oeis4.)