login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A319400 Number of partitions of n into exactly seven positive Fibonacci numbers. 2
0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 4, 4, 6, 7, 9, 9, 11, 11, 14, 14, 16, 15, 19, 17, 20, 20, 22, 21, 24, 22, 27, 25, 27, 26, 31, 28, 30, 29, 32, 29, 32, 30, 34, 33, 34, 34, 37, 36, 38, 36, 41, 37, 38, 39, 41, 41, 40, 39, 41, 38, 41, 38, 41, 42, 40, 41, 46, 43 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..17711

FORMULA

a(n) = [x^n y^7] 1/Product_{j>=2} (1-y*x^A000045(j)).

MAPLE

h:= proc(n) option remember; `if`(n<1, 0, `if`((t->

      issqr(t+4) or issqr(t-4))(5*n^2), n, h(n-1)))

    end:

b:= proc(n, i, t) option remember; `if`(n=0, 1, `if`(i<1 or

      t<1, 0, b(n, h(i-1), t)+b(n-i, h(min(n-i, i)), t-1)))

    end:

a:= n-> (k-> b(n, h(n), k)-b(n, h(n), k-1))(7):

seq(a(n), n=0..120);

CROSSREFS

Column k=7 of A319394.

Cf. A000045.

Sequence in context: A215259 A331167 A106247 * A174787 A094909 A237799

Adjacent sequences:  A319397 A319398 A319399 * A319401 A319402 A319403

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 18 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 1 14:39 EDT 2020. Contains 333163 sequences. (Running on oeis4.)