A357694 Number of ways to write n as an ordered sum of seven positive Fibonacci numbers (with a single type of 1).

1, 7, 28, 77, 168, 308, 504, 750, 1050, 1400, 1813, 2261, 2737, 3227, 3753, 4312, 4921, 5579, 6230, 6832, 7413, 8008, 8652, 9289, 9996, 10654, 11361, 12061, 12853, 13657, 14357, 14924, 15393, 15869, 16408, 16933, 17689, 18319, 18949, 19537, 20244, 21049, 21728

Offset

7,2

Links

Table of n, a(n) for n=7..49.

Formula

G.f.: ( Sum_{k>=2} x^Fibonacci(k) )^7.

a(n) = A121548(n,7).

Mathematica

nmax = 49; CoefficientList[Series[Sum[x^Fibonacci[k], {k, 2, 21}]^7, {x, 0, nmax}], x] // Drop[#, 7] &

Crossrefs

Cf. A000045, A076739, A121548, A121549, A121550, A319400, A357688, A357690, A357691, A357716, A357717.

Sequence in context: A296986 A211899 A073995 * A341986 A341067 A061968

Adjacent sequences: A357691 A357692 A357693 * A357695 A357696 A357697

Keyword

nonn

Author

Ilya Gutkovskiy, Oct 10 2022

Status

approved