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A317444 Number of permutations of [n] whose lengths of increasing runs are distinct Fibonacci numbers. 6
1, 1, 1, 5, 6, 19, 212, 40, 757, 2170, 13546, 379084, 8978, 73195, 2702092, 772852, 38833826, 213557110, 2390871412, 150689939006, 9394670, 634504029, 4522073096, 63395566566, 5160905755362, 192831696582, 3068824154606, 289158899744046, 116561588867106 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..150

MAPLE

g:= (n, s)-> `if`(n in s or not

    (issqr(5*n^2+4) or issqr(5*n^2-4)), 0, 1):

b:= proc(u, o, t, s) option remember; `if`(u+o=0, g(t, s),

      `if`(g(t, s)=1, add(b(u-j, o+j-1, 1, s union {t})

       , j=1..u), 0)+ add(b(u+j-1, o-j, t+1, s), j=1..o))

    end:

a:= n-> b(n, 0$2, {}):

seq(a(n), n=0..30);

CROSSREFS

Cf. A000045, A317128, A317445, A317446, A317447, A317448.

Sequence in context: A056509 A129722 A133608 * A072577 A231182 A231181

Adjacent sequences:  A317441 A317442 A317443 * A317445 A317446 A317447

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 28 2018

STATUS

approved

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Last modified September 18 09:22 EDT 2020. Contains 337166 sequences. (Running on oeis4.)