A091583 -id:A091583 - cp's OEIS frontend

A091582 Number of partitions of the n-th decimal palindrome.

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 56, 1002, 10143, 75175, 451276, 2323520, 10619863, 44108109, 169229875, 214481126, 679903203, 2056148051, 5964539504, 16670689208, 45060624582, 118159068427, 301384802048, 749474411781, 1820701100652, 4714566886083, 10963707205259

Offset: 1

Reinhard Zumkeller, Jan 22 2004

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

Cf. A000041, A002113, A091584, A091583.

from sympy import npartitions
def A091582(n):
    if n == 1: return 1
    y = 10*(x:=10**(len(str(n>>1))-1))
    return npartitions((c:=n-x)*x+int(str(c)[-2::-1]or 0) if nChai Wah Wu, Jun 14 2024

a(n) = A000041(A002113(n)).

a(1)=1 prepended and more terms from Georg Fischer, Dec 15 2020

A091585 Number of partitions of the n-th decimal palindrome into distinct decimal palindromes.

Original entry on oeis.org

1, 1, 2, 2, 3, 4, 5, 6, 8, 11, 34, 47, 58, 82, 105, 140, 186, 234, 238, 307, 401, 491, 603, 723, 891, 1058, 1302, 1543, 1858, 2228, 2626, 3113, 3666, 4274, 5026, 5823, 6815, 7879, 9251, 10727, 12347, 14219, 16340, 18740, 21465, 24473, 27960, 31819

Offset: 1

Reinhard Zumkeller, Jan 22 2004

a(n) = A091581(A002113(n)).

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

Cf. A002113, A091581, A091583.

cp's OEIS Frontend

A091582 Number of partitions of the n-th decimal palindrome.

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