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Number of ways to write n as an ordered sum of 10 nonzero decimal palindromes.
6

%I #6 Feb 07 2021 12:46:16

%S 1,10,55,220,715,2002,5005,11440,24310,48610,92288,167500,292180,

%T 491920,802120,1270324,1958605,2945800,4329370,6226580,8774695,

%U 12129890,16464610,21963190,28815655,37209766,47321560,59304730,73279565,89322100,107454362,127636600,149762345,173657020

%N Number of ways to write n as an ordered sum of 10 nonzero decimal palindromes.

%H Alois P. Heinz, <a href="/A341207/b341207.txt">Table of n, a(n) for n = 10..10000</a>

%t nmax = 43; CoefficientList[Series[Sum[Boole[PalindromeQ[k]] x^k, {k, 1, nmax}]^10, {x, 0, nmax}], x] // Drop[#, 10] &

%Y Cf. A002113, A136522, A319475, A341168, A341184, A341191, A341192, A341193, A341203, A341204, A341205, A341206.

%K nonn,base

%O 10,2

%A _Ilya Gutkovskiy_, Feb 06 2021