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A341095 Number of partitions of n into 7 distinct squarefree parts. 6
1, 1, 0, 1, 2, 2, 2, 4, 6, 7, 7, 10, 14, 15, 15, 21, 28, 32, 32, 44, 53, 60, 60, 76, 93, 103, 107, 131, 157, 172, 178, 211, 247, 273, 283, 333, 384, 423, 439, 507, 577, 629, 657, 747, 846, 917, 960, 1078, 1211, 1306, 1362, 1521, 1691, 1822, 1898, 2103, 2322, 2494, 2596, 2850, 3134 (list; graph; refs; listen; history; text; internal format)
OFFSET

34,5

LINKS

Table of n, a(n) for n=34..94.

MAPLE

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

      `if`(t=0, 1, 0), `if`(i<1 or t<1, 0, b(n, i-1, t)+

      `if`(numtheory[issqrfree](i), b(n-i, min(n-i, i-1), t-1), 0)))

    end:

a:= n-> b(n$2, 7):

seq(a(n), n=34..94);  # Alois P. Heinz, Feb 04 2021

MATHEMATICA

b[n_, i_, t_] := b[n, i, t] = If[n == 0,

     If[t == 0, 1, 0], If[i < 1 || t < 1, 0, b[n, i - 1, t] +

     If[SquareFreeQ[i], b[n - i, Min[n - i, i - 1], t - 1], 0]]];

a[n_] := b[n, n, 7];

Table[a[n], {n, 34, 94}] (* Jean-Fran├žois Alcover, Feb 24 2022, after Alois P. Heinz *)

CROSSREFS

Cf. A005117, A008966, A098236, A307835, A308952, A341067, A341073, A341074, A341075, A341096, A341097, A341098.

Sequence in context: A265251 A336032 A093393 * A090858 A187504 A036654

Adjacent sequences:  A341092 A341093 A341094 * A341096 A341097 A341098

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 04 2021

STATUS

approved

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Last modified October 1 21:18 EDT 2022. Contains 357173 sequences. (Running on oeis4.)