A125291 Number of partitions of n into positive digit values of its ternary representation.

1, 1, 1, 1, 3, 1, 4, 1, 1, 1, 6, 1, 1, 8, 8, 9, 9, 1, 10, 1, 11, 12, 12, 1, 13, 1, 1, 1, 15, 1, 1, 17, 17, 18, 18, 1, 1, 20, 1, 1, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 1, 28, 1, 29, 30, 30, 1, 31, 1, 32, 33, 33, 34, 34, 35, 35, 36, 36, 1, 37, 1, 38, 39, 39, 1, 40, 1, 1, 1, 42

Offset

1,5

Comments

a(A125292(n))=1; a(A125293(n))=floor((n+2)/2)=A008619(n).

Links

R. Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Ternary

Formula

a(n) = 1 + floor(n/2) * (1 - 0^(A062756(n)*A081603(n))).

Crossrefs

Cf. A007089, A061827.

Sequence in context: A079668 A144211 A260510 * A320640 A055187 A217780

Adjacent sequences: A125288 A125289 A125290 * A125292 A125293 A125294

Keyword

nonn,base

Author

Reinhard Zumkeller, Nov 26 2006

Status

approved