

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((n1)/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((n1)/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



