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A116378 Number of partitions of n into parts with digital root = 8. 10

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

%S 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,2,

%T 1,0,0,0,0,1,1,2,2,1,0,0,0,1,1,2,3,3,1,0,0,1,1,2,3,4,3,1,0,1,1,2,3,5,

%U 5,4,1,1,1,2,3,5,6,7,4,2,1,2,3,5,7,9,8,6,2,2,3,5,7,10,11,11,6,3,3,5,7,11,13

%N Number of partitions of n into parts with digital root = 8.

%C a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) - A116375(n) - A116376(n) - A116377(n) - A114099(n).

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

%e a(51) = #{35+8+8, 26+17+8, 17+17+17} = 3.

%Y Cf. A010888.

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

%K nonn,base

%O 1,34

%A _Reinhard Zumkeller_, Feb 12 2006

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Last modified September 2 08:13 EDT 2024. Contains 375604 sequences. (Running on oeis4.)