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 A029144 Expansion of 1/((1-x^2)(1-x^3)(1-x^5)(1-x^7)). 3
 1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 7, 7, 9, 10, 11, 13, 14, 16, 18, 20, 22, 24, 27, 29, 32, 35, 38, 41, 45, 48, 52, 56, 60, 65, 69, 74, 79, 84, 90, 95, 102, 107, 114, 121, 127, 135, 142, 150, 158, 166, 175, 183, 193, 202, 212, 222, 232, 243, 254, 265, 277 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS M. Janjic, On Linear Recurrence Equations Arising from Compositions of Positive Integers, Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.7. Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,0,0,0,-1,-1,0,0,0,0,1,1,0,-1). MATHEMATICA CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^5)(1-x^7)), {x, 0, 60}], x] (* Harvey P. Dale, Oct 28 2011 *) PROG (Maxima) a(n):=floor((2*n^3+51*n^2+390*n+2020)/2520+((-1)^mod(n, 5)-floor(mod(n, 5)/4))/5); /* Tani Akinari, Nov 13 2012 */ (PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^7)) + O(x^90)) \\ Jinyuan Wang, Mar 18 2020 CROSSREFS Sequence in context: A320388 A264396 A007360 * A173244 A304114 A031234 Adjacent sequences:  A029141 A029142 A029143 * A029145 A029146 A029147 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified April 23 07:37 EDT 2021. Contains 343201 sequences. (Running on oeis4.)