A116377 Number of partitions of n into parts with digital root = 7.

0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 3, 1, 3, 1, 1, 2, 0, 3, 1, 4, 1, 3, 2, 1, 3, 1, 5, 1, 5, 2, 4, 3, 2, 5, 1, 6, 2, 7, 3, 5, 5, 2, 7, 2, 9, 3, 9, 5, 6, 7, 3, 10, 3, 12, 5, 11, 7, 7, 11, 4, 14, 5, 16, 7, 14

Offset: 1

Author

Reinhard Zumkeller, Feb 12 2006

Keywords

• nonn
• base

Comments

a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) - A116375(n) - A116376(n) - A116378(n) - A114099(n).

Examples

			a(48) = #{34+7+7, 25+16+7, 16+16+16} = 3.
		

Links

• Eric Weisstein's World of Mathematics, Digital Root

Crossrefs

Cf. A010888.

A147706. [From Reinhard Zumkeller, Nov 11 2008]