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A282584 Number of compositions (ordered partitions) of n into decimal palindromes (A002113). 2
1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 511, 1022, 2042, 4081, 8156, 16300, 32576, 65104, 130112, 260032, 519681, 1038595, 2075660, 4148259, 8290402, 16568581, 33112734, 66176648, 132255728, 264316464, 528243231, 1055707644, 2109858797, 4216606912, 8426997041, 16841569684, 33658308890, 67266993433 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..37.

Eric Weisstein's World of Mathematics, Palindromic Number

Index entries for sequences related to palindromes

Index entries for sequences related to compositions

FORMULA

G.f.: 1/(1 - Sum_{k>=2} x^A002113(k)).

EXAMPLE

a(4) = 8 because we have [4], [3, 1], [2, 2], [2, 1, 1], [1, 3], [1, 2, 1], [1, 1, 2] and [1, 1, 1, 1].

MATHEMATICA

nmax = 37; CoefficientList[Series[1/(1 - Sum[Boole[PalindromeQ[k]] x^k, {k, 1, nmax}]), {x, 0, nmax}], x]

CROSSREFS

Cf. A002113, A091580, A091581, A260254, A261422.

Sequence in context: A104144 A258800 A194632 * A251759 A243087 A123464

Adjacent sequences:  A282581 A282582 A282583 * A282585 A282586 A282587

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 19 2017

STATUS

approved

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Last modified February 24 12:51 EST 2018. Contains 299623 sequences. (Running on oeis4.)