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 A241948 #13 Jan 05 2025 19:51:40
%S A241948 1,1,1,2,2,3,4,4,5,6,7,8,8,10,11,12,14,14,16,18,18,21,22,23,26,26,29,
%T A241948 31,32,35,36,39,41,41,46,47,49,53,52,57,60,60,65,66,70,74,73,79,81,84,
%U A241948 89,88,94,97,97,105,105,109,115,113,121,124,125,132,132,139,143,141,151,152,157,164,161,171,175
%N A241948 Number of possible representations of n as a sum of distinct positive integers from the Fibonacci-type sequences 0,1,1,2,3,5,8,13,... and 0,2,2,4,6,10,16,... (A000045 and A118658).
%H A241948 Alois P. Heinz, <a href="/A241948/b241948.txt">Table of n, a(n) for n = 0..17711</a>
%H A241948 D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/4-4/klarner-a.pdf">part 1</a>, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/4-4/klarner-b.pdf">part 2</a>, Fib. Quart., 4 (1966), 289-306 and 322.
%e A241948 a(10) = 7 because 10 can be represented in 7 possible ways as a sum of integers in the set {1,2,3,4,5,6,8,10,13,16,...}: 10, 8+2, 6+4, 6+3+1, 5+4+1, 5+3+2, 4+3+2+1.
%Y A241948 Cf. A118658, A000045, A000119.
%K A241948 nonn
%O A241948 0,4
%A A241948 _Casey Mongoven_, May 03 2014
%E A241948 a(0)=1 from _Alois P. Heinz_, Sep 16 2015