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 A033183 a(n) = number of pairs (p,q) such that 4*p + 9*q = n. 6
 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 2, 2, 3, 3, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,37 COMMENTS From Reinhard Zumkeller, Nov 07 2009: (Start) In other words: number of partitions into 4 or 9; a(n) <= A078134(n); a(A078135(n)) = 0; a(A167632(n)) = n and a(m) < n for m < A167632(n). (End) LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1). FORMULA a(n) = [ 7 n/9 ]+1+[ -3 n/4 ]. G.f.: 1/((1-x^4)*(1-x^9)). - Vladeta Jovovic, Nov 12 2004 a(n) = a(n-4) + a(n-9) - a(n-13). - R. J. Mathar, Dec 04 2011 MATHEMATICA CoefficientList[Series[1/((1-x^4)(1-x^9)), {x, 0, 80}], x] (* or  *) LinearRecurrence[{0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1}, 80] (* Harvey P. Dale, Oct 13 2012 *) CROSSREFS Cf. A033182. Sequence in context: A322818 A327500 A066922 * A090677 A161097 A105240 Adjacent sequences:  A033180 A033181 A033182 * A033184 A033185 A033186 KEYWORD nonn AUTHOR Michel Tixier (tixier(AT)dyadel.net) STATUS approved

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Last modified November 28 05:30 EST 2021. Contains 349401 sequences. (Running on oeis4.)