A116375 - OEIS

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A116375

Number of partitions of n into parts with digital root = 5.

10

0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 3, 2, 1, 1, 3, 3, 2, 1, 2, 4, 3, 2, 1, 4, 5, 3, 2, 2, 6, 5, 3, 2, 5, 7, 5, 3, 3, 8, 8, 5, 3, 6, 10, 8, 5, 4, 10, 11, 8, 5, 8, 13, 12, 8, 6, 13, 15, 12, 8, 10, 18, 16, 12, 9, 17, 21, 17

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OFFSET

1,28

COMMENTS

a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) - A116376(n) - A116377(n) - A116378(n) - A114099(n).

LINKS

Table of n, a(n) for n=1..98.

Eric Weisstein's World of Mathematics, Digital Root

EXAMPLE

a(42) = #{32+5+5, 23+14+5, 14+14+14} = 3.

CROSSREFS

A147706. [From Reinhard Zumkeller, Nov 11 2008]

Sequence in context: A262804 A048825 A339884 * A301343 A353446 A054078

Adjacent sequences: A116372 A116373 A116374 * A116376 A116377 A116378

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Feb 12 2006

STATUS

approved