A046497 -id:A046497 - cp's OEIS frontend

A091584 Number of partitions of the n-th decimal palindrome into decimal palindromes.

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 55, 788, 5747, 28915, 114064, 378823, 1105429, 2916219, 7093435, 8275126, 17341313, 34721974, 66837990, 124308827, 224290376, 393929311, 675393430, 1133103539, 1864009161, 3157186031, 5011108578, 7836124010, 12086660443

Offset: 1

Reinhard Zumkeller, Jan 22 2004

a(n) = A091580(A002113(n)).

Eric Weisstein's World of Mathematics, Palindromic Number
Eric Weisstein's World of Mathematics, Partition

Cf. A091582, A046488, A046486, A046497, A046498, A046499.

More terms from Alois P. Heinz, Nov 13 2018

A309325 Numbers that are the sum of two successive palindromes.

Original entry on oeis.org

1, 3, 5, 7, 9, 11, 13, 15, 17, 20, 33, 55, 77, 99, 121, 143, 165, 187, 200, 212, 232, 252, 272, 292, 312, 332, 352, 372, 393, 414, 434, 454, 474, 494, 514, 534, 554, 574, 595, 616, 636, 656, 676, 696, 716, 736, 756, 776, 797, 818, 838, 858, 878, 898, 918, 938, 958, 978

Offset: 1

Ilya Gutkovskiy, Jul 23 2019

Index entries for sequences related to palindromes

Cf. A002113, A046489, A046497, A260255, A261906.

Total /@ Partition[Select[Range[0, 500], PalindromeQ], 2, 1]

from itertools import chain, count, islice
def A309325_gen(): # generator of terms
    c = 0
    for a in chain.from_iterable(chain((int((s:=str(d))+s[-2::-1]) for d in range(10**l,10**(l+1))), (int((s:=str(d))+s[::-1]) for d in range(10**l,10**(l+1)))) for l in count(0)):
        yield c+(c:=a)
A309325_list = list(islice(A309325_gen(),20)) # Chai Wah Wu, Jun 23 2022

a(n) = A002113(n) + A002113(n+1).

cp's OEIS Frontend

A091584 Number of partitions of the n-th decimal palindrome into decimal palindromes.

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A309325 Numbers that are the sum of two successive palindromes.

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