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).

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, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 40, 40, 39, 43, 44, 44, 47, 50, 52, 53, 57, 58, 58, 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

Offset: 1

Author

Casey Mongoven, May 03 2014

Keywords

• nonn

Examples

			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.
		

Links

• D. A. Klarner, Representations of N as a sum of distinct elements from special sequences, part 1, part 2, Fib. Quart., 4 (1966), 289-306 and 322.

Crossrefs

Cf. A118658, A000032, A067595.