This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A379908 #11 Jan 09 2025 19:18:24
%S A379908 1,9,32,380,4097,54054,700099,8742818,108476326,1285917070,
%T A379908 15207121743,173726013062,1982695287783,22061642063204,
%U A379908 245374194718713,2677923173095450,29219674883924922,314236528160399298,3379020617685021774,35924502411735093750,381913758547904774763
%N A379908 a(n) is number of n-digit positive integers in which the product of the digits in the even positions equals the product of the digits in the odd positions.
%F A379908 Limit_{n->oo} a(n+1)/a(n) = 10.
%t A379908 a[n_]:=Module[{num=KroneckerDelta[n,1]}, For[k=10^(n-1), k<=10^n-1, k++, If[Product[Part[(digits=IntegerDigits[k]), 2i], {i, Floor[(len=IntegerLength[k])/2]}] == Product[Part[digits, 2i-1], {i, Ceiling[len/2]}], num++]]; num]; Array[a,6]
%Y A379908 Cf. A067042.
%K A379908 nonn,base
%O A379908 1,2
%A A379908 _Stefano Spezia_, Jan 05 2025
%E A379908 More terms from _Jinyuan Wang_, Jan 07 2025