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A183055 Palindromic partition numbers. 0
1, 1, 2, 3, 5, 7, 11, 22, 77, 101 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Partition numbers whose decimal expansion is a palindrome.

The next term (if one exists) has at least 400 decimal digits.

Next term, if it exists, is greater than A000041(2000000). - Vaclav Kotesovec, Apr 23 2017

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

101 is in the sequence because 101 is the number of partitions of 13 and 101 is also a palindrome.

MATHEMATICA

palQ[n_Integer, base_Integer:10] := Module[{idn = IntegerDigits[n, base]}, idn == Reverse@idn]; Select[Array[PartitionsP, 1000], palQ[#] &]

Select[PartitionsP[Range[0, 1000]], PalindromeQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 21 2017 *)

CROSSREFS

Intersection of A000041 and A002113.

Sequence in context: A038204 A075049 A061165 * A046689 A048278 A247797

Adjacent sequences:  A183052 A183053 A183054 * A183056 A183057 A183058

KEYWORD

nonn,base,hard,more

AUTHOR

Omar E. Pol, Dec 30 2010

STATUS

approved

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Last modified September 19 13:13 EDT 2020. Contains 337178 sequences. (Running on oeis4.)