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Number of partitions of n into parts with digital root = 7.
10

%I #4 Mar 30 2012 18:50:54

%S 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,

%T 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,

%U 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

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

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DigitalRoot.html">Digital Root</a>

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

%Y Cf. A010888.

%Y A147706. [From _Reinhard Zumkeller_, Nov 11 2008]

%K nonn,base

%O 1,32

%A _Reinhard Zumkeller_, Feb 12 2006