OFFSET
1,5
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..500
EXAMPLE
a(5) = 3: [1,1,1,2], [1,1,3], [1,4].
a(6) = 3: [1,1,2,2], [1,2,3], [2,4].
a(7) = 7: [1,1,1,1,1,2], [1,2,2,2], [2,2,3], [1,3,3], [1,1,1,4], [3,4], [1,6].
MAPLE
b:= proc(n, j, t) option remember;
add(b(n-i, i, t+1), i=j..iquo(n, 2))+
`if`(igcd(t, n)>1, 1, 0)
end:
a:= n-> b(n, 1, 1):
seq(a(n), n=1..60);
MATHEMATICA
b[n_, j_, t_] := b[n, j, t] = Sum[b[n-i, i, t+1], {i, j, Quotient[n, 2]}] + If[GCD[t, n] > 1, 1, 0]; a[n_] := b[n, 1, 1]; Table[a[n], {n, 1, 60}] (* Jean-François Alcover, Feb 06 2017, translated from Maple *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Nov 22 2011
STATUS
approved