A341184 Number of ways to write n as an ordered sum of 5 nonzero decimal palindromes.

1, 5, 15, 35, 70, 126, 210, 330, 495, 710, 981, 1310, 1695, 2130, 2605, 3106, 3615, 4110, 4575, 4980, 5311, 5555, 5705, 5760, 5725, 5611, 5435, 5210, 4975, 4735, 4511, 4320, 4170, 4065, 4005, 3986, 4005, 4040, 4100, 4175, 4241, 4310, 4380, 4450, 4520, 4590, 4665, 4740, 4810

Offset: 5

Author

Ilya Gutkovskiy, Feb 06 2021

Keywords

• nonn
• base

Links

• Alois P. Heinz, Table of n, a(n) for n = 5..10000

Crossrefs

Cf. A002113, A136522, A319470, A341158, A341191, A341192, A341193, A341203, A341204, A341205, A341206, A341207.

Programs

Mathematica

nmax = 53; CoefficientList[Series[Sum[Boole[PalindromeQ[k]] x^k, {k, 1, nmax}]^5, {x, 0, nmax}], x] // Drop[#, 5] &