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A241950 Number of possible representations of n as a sum of distinct positive integers from the Fibonacci-type sequences 0,2,2,4,6,10,16,... and 0,3,3,6,9,15,... (A118658 and A022086). 1
1, 0, 1, 1, 1, 1, 2, 1, 1, 3, 2, 2, 3, 3, 2, 5, 4, 3, 5, 6, 4, 6, 6, 4, 7, 8, 7, 7, 10, 8, 10, 11, 9, 10, 12, 12, 11, 13, 11, 14, 14, 15, 15, 16, 17, 19, 18, 17, 20, 19, 20, 22, 22, 20, 26, 25, 23, 27, 27, 25, 29, 30, 24, 31, 30, 29, 31, 34, 32, 35, 39, 34, 39, 39, 39, 39, 42, 39, 44, 44, 43, 47, 47, 48, 51, 51, 48, 56, 52, 53, 55, 56, 54, 61, 62, 56, 66 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..20000

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.

EXAMPLE

a(9) = 3 because 9 can be represented in 3 possible ways as a sum of integers in the set {2,3,4,6,9,10,15,16,...}: 9, 6+3, 4+3+2.

CROSSREFS

Cf. A022086, A118658, A000119.

Sequence in context: A329143 A219032 A234567 * A316776 A029308 A218879

Adjacent sequences:  A241947 A241948 A241949 * A241951 A241952 A241953

KEYWORD

nonn

AUTHOR

Casey Mongoven, May 03 2014

EXTENSIONS

a(0)=1 from Alois P. Heinz, Sep 16 2015

STATUS

approved

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Last modified May 25 20:58 EDT 2020. Contains 334597 sequences. (Running on oeis4.)