cp's OEIS Frontend

A241952 Number of possible representations of n as a sum of distinct positive integers from the Fibonacci-type sequences 2,1,3,4,7,11,... and 0,2,2,4,6,10,16,... (A000032 and A118658).

%I A241952 #8 Jan 05 2025 19:51:40
%S A241952 1,1,2,2,2,3,4,3,4,6,6,6,8,8,7,10,11,11,12,14,15,15,17,17,17,19,21,22,
%T A241952 24,25,26,28,29,30,31,34,35,36,40,40,39,43,44,44,47,50,52,53,57,58,58,
%U A241952 61,63,65,68,70,73,76,76,80,81,82,86,88,92,93,95,99,99,101,104,105,108,111,115,118,119,124,126,127,133,134,137,142,143,149
%N A241952 Number of possible representations of n as a sum of distinct positive integers from the Fibonacci-type sequences 2,1,3,4,7,11,... and 0,2,2,4,6,10,16,... (A000032 and A118658).
%H A241952 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 A241952 a(10) = 6 because 10 can be represented in 6 possible ways as a sum of integers in the set {1,2,3,4,6,7,10,11,16,...}: 10, 7+3, 7+2+1, 6+4, 6+3+1, 4+3+2+1.
%Y A241952 Cf. A118658, A000032, A067595.
%K A241952 nonn
%O A241952 1,3
%A A241952 _Casey Mongoven_, May 03 2014