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A131361 Number of partitions of n into repdigits of digits of n. 5
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 6, 5, 5, 4, 4, 4, 4, 1, 17, 2, 4, 8, 3, 6, 2, 5, 2, 1, 22, 8, 2, 3, 3, 8, 2, 2, 6, 1, 27, 17, 5, 2, 3, 4, 2, 8, 2, 1, 32, 11, 6, 4, 2, 2, 2, 2, 2, 1, 37, 22, 17, 8, 4, 2, 2, 3, 4, 1, 42, 14, 7, 4, 4, 2, 2, 2, 2, 1, 47, 27, 7, 17, 4, 5, 2, 2, 2, 1, 52, 16, 22, 4, 4, 8, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

COMMENTS

See A131362 and A131363 for record values and where they occur.

LINKS

Reinhard Zumkeller and Alois P. Heinz, Table of n, a(n) for n = 0..10000 (first 501 terms from Reinhard Zumkeller)

Eric Weisstein's World of Mathematics, Repdigit

EXAMPLE

a(10) = #{1+1+1+1+1+1+1+1+1+1} = 1;

a(11) = #{11, 1+1+1+1+1+1+1+1+1+1+1} = 2;

a(12) = #{11+1, 2+2+2+2+2+2, 2+2+2+2+2+1+1, 2+2+2+2+1+1+1+1, 2+2+2+1+1+1+1+1+1, 2+2+1+1+1+1+1+1+1+1, 2+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1} = 8;

a(13) = #{11+1+1, 3+3+3+3+1, 3+3+3+1+1+1+1, 3+3+1+1+1+1+1+1+1, 3+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1} = 6;

a(14) = #{11+1+1+1, 4+4+4+1+1, 4+4+1+1+1+1+1+1, 4+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1+1} = 5;

a(15) = #{11+1+1+1+1, 5+5+5, 5+5+1+1+1+1+1, 5+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1} = 5;

a(16) = #{11+1+1+1+1+1, 6+6+1+1+1+1, 6+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1} = 4;

a(17) = #{11+1+1+1+1+1+1, 7+7+1+1+1, 7+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1} = 4;

a(18) = #{11+1+1+1+1+1+1+1, 8+8+1+1, 8+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1} = 4;

a(19) = #{11+1+1+1+1+1+1+1+1, 9+9+1, 9+1+1+1+1+1+1+1+1+1+1, 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1} = 4.

PROG

(Haskell)

a131361 n = p [r | r <- tail a010785_list, head (show r) `elem` show n] n

   where p _          0 = 1

         p ks'@(k:ks) m = if m < k then 0 else p ks' (m - k) + p ks m

-- Reinhard Zumkeller, Dec 10 2011

CROSSREFS

Cf. A131364, A088669.

Sequence in context: A248413 A206099 A021353 * A228042 A239386 A011370

Adjacent sequences:  A131358 A131359 A131360 * A131362 A131363 A131364

KEYWORD

nonn,base,look

AUTHOR

Reinhard Zumkeller, Jul 03 2007

EXTENSIONS

a(0)=1 added and offset adjusted by Reinhard Zumkeller, Dec 10 2011

STATUS

approved

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Last modified October 20 10:41 EDT 2019. Contains 328257 sequences. (Running on oeis4.)