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A238591 Number of partitions p of n such that 4*min(p) is a part of p. 3
0, 0, 0, 0, 1, 1, 2, 3, 5, 8, 11, 16, 23, 32, 45, 60, 81, 109, 144, 190, 247, 320, 412, 529, 675, 854, 1078, 1355, 1695, 2117, 2626, 3251, 4010, 4932, 6047, 7394, 9012, 10959, 13290, 16083, 19407, 23379, 28090, 33689, 40317, 48158, 57406, 68324, 81155, 96248 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,7

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

EXAMPLE

a(9) = 5 counts these partitions:  441, 4311, 4221, 42111, 411111.

MAPLE

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

      `if`(i>n, 0, b(n, i+1)+b(n-i, i)))

    end:

a:= n-> add(b(n-5*i, i), i=1..n/5):

seq(a(n), n=1..60);  # Alois P. Heinz, Mar 03 2014

MATHEMATICA

Table[Count[IntegerPartitions[n], p_ /; MemberQ[p, 4*Min[p]]], {n, 50}]

CROSSREFS

Cf. A238589, A238590, A238591.

Sequence in context: A070228 A173599 A006304 * A039847 A046938 A060677

Adjacent sequences:  A238588 A238589 A238590 * A238592 A238593 A238594

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 01 2014

STATUS

approved

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Last modified October 17 11:47 EDT 2019. Contains 328108 sequences. (Running on oeis4.)