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A238545 Number of partitions p of n such that max(p) - (number of parts of p) is not a part of p. 1
1, 2, 3, 4, 7, 9, 14, 18, 27, 35, 50, 63, 89, 112, 152, 192, 256, 319, 419, 521, 672, 834, 1062, 1307, 1652, 2025, 2528, 3089, 3828, 4651, 5726, 6929, 8468, 10214, 12409, 14901, 18018, 21560, 25928, 30928, 37035, 44017, 52500, 62205, 73896, 87310, 103352 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..47.

FORMULA

a(n) + A238544(n) = A000041(n).

EXAMPLE

a(6) counts all the 11 partitions of 6 except 42, 411.

MATHEMATICA

Table[Count[IntegerPartitions[n], p_ /; !MemberQ[p, Max[p] - Length[p]]], {n, 50}]

CROSSREFS

Cf. A238544.

Sequence in context: A065046 A049709 A108950 * A325343 A238495 A239329

Adjacent sequences:  A238542 A238543 A238544 * A238546 A238547 A238548

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Feb 28 2014

STATUS

approved

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Last modified February 21 05:23 EST 2020. Contains 332086 sequences. (Running on oeis4.)