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A033182 Number of pairs (p,q) such that 5*p + 6*q = n. 3
1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,31

COMMENTS

Number of partitions of n into parts 5 and 6. - Seiichi Manyama, Jun 14 2017

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Vincenzo Librandi)

FORMULA

a(n) = [ 5*n/6 ] + 1 + [ -4*n/5 ].

a(n)=floor(n/5)-floor((n-1)/6). [Mircea Merca, Oct 11 2013]

MATHEMATICA

nn = 86; t = Table[0, {nn}]; Do[m = 5*p + 6*q; If[0 < m <= nn, t[[m]]++], {p, 0, nn/5}, {q, 0, nn/6}]; Join[{1}, t] (* T. D. Noe, Oct 07 2013 *)

PROG

(MAGMA) [Floor(n/5)-Floor((n-1)/6): n in [0..100]]; // Vincenzo Librandi, Oct 13 2013

CROSSREFS

Cf. A033183.

Sequence in context: A097587 A001179 A001876 * A053797 A254011 A002635

Adjacent sequences:  A033179 A033180 A033181 * A033183 A033184 A033185

KEYWORD

nonn

AUTHOR

Michel Tixier (tixier(AT)dyadel.net)

STATUS

approved

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Last modified December 10 04:14 EST 2019. Contains 329885 sequences. (Running on oeis4.)