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A341098 Number of partitions of n into 10 distinct squarefree parts. 6
1, 1, 1, 1, 2, 3, 2, 4, 6, 8, 7, 10, 14, 17, 17, 22, 32, 35, 37, 47, 62, 71, 72, 91, 114, 132, 136, 167, 205, 234, 247, 293, 355, 398, 426, 497, 590, 661, 708, 819, 956, 1066, 1141, 1306, 1501, 1672, 1791, 2030, 2318, 2559, 2747, 3081, 3490, 3835, 4115 (list; graph; refs; listen; history; text; internal format)
OFFSET

72,5

LINKS

Table of n, a(n) for n=72..126.

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, 10):

seq(a(n), n=72..126);  # 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, 10];

Table[a[n], {n, 72, 126}] (* Jean-Fran├žois Alcover, Feb 24 2022, after Alois P. Heinz *)

CROSSREFS

Cf. A005117, A008966, A098236, A307835, A326626, A341070, A341073, A341074, A341075, A341095, A341096, A341097.

Sequence in context: A345199 A079159 A192298 * A353330 A254967 A229012

Adjacent sequences:  A341095 A341096 A341097 * A341099 A341100 A341101

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 04 2021

STATUS

approved

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Last modified September 28 20:34 EDT 2022. Contains 357081 sequences. (Running on oeis4.)