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A091581 Number of partitions of n into distinct decimal palindromes. 6
1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 9, 11, 13, 14, 17, 19, 21, 23, 26, 27, 30, 32, 34, 36, 37, 39, 40, 42, 42, 44, 44, 45, 45, 47, 47, 47, 49, 48, 50, 50, 52, 52, 55, 55, 58, 60, 60, 64, 65, 68, 69, 73, 73, 77, 78, 82, 84, 84, 88, 88, 92, 92, 96, 96, 100, 100, 105, 107, 107, 113 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Not the same as A088670: a(n) > A088670(n) for n > 101.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..20000

Eric Weisstein's World of Mathematics, Palindromic Number

Eric Weisstein's World of Mathematics, Partition

EXAMPLE

n=13: there are A000009(13)=18 partitions of 13 into distinct integers, 4 of them contain non-palindromes: 13=12+1, 13=10+3, 13=10+2+1 and 13 itself, therefore a(13)=18-4=14;

for n=14 there are a(14)=17 partitions into palindromes: 11+3 = 11+2+1 = 9+5 = 9+4+1 = 9+3+2 = 8+6 = 8+5+1 = 8+4+2 = 8+3+2+1 = 7+6+1 = 7+5+2 = 7+4+3 = 7+4+2+1 = 6+5+3 = 6+5+2+1 = 6+4+3+1 = 5+4+3+2.

CROSSREFS

Cf. A091580, A046489.

Sequence in context: A062419 A061052 A088670 * A014591 A286745 A286316

Adjacent sequences:  A091578 A091579 A091580 * A091582 A091583 A091584

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Jan 22 2004

EXTENSIONS

a(0)=1 prepended by Alois P. Heinz, Sep 17 2018

STATUS

approved

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Last modified October 19 13:38 EDT 2018. Contains 316361 sequences. (Running on oeis4.)