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

Author

Reinhard Zumkeller, Nov 26 2006

Keywords

• nonn
• base

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

Crossrefs

Cf. A007089, A061827.

Formula

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