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A238543
Number of partitions p of n such that 3*min(p) + (number of parts of p) is not a part of p.
0
1, 2, 3, 5, 7, 10, 15, 21, 29, 39, 54, 73, 96, 126, 167, 217, 281, 359, 461, 587, 744, 935, 1176, 1470, 1832, 2271, 2814, 3465, 4262, 5219, 6383, 7777, 9456, 11458, 13869, 16733, 20155, 24208, 29040, 34743, 41508, 49473, 58886, 69944, 82964, 98208, 116113
OFFSET
1,2
FORMULA
a(n) + A097092(n) = A000041(n).
EXAMPLE
a(10) counts all the 42 partitions of 10 except these: 82, 7111, 631.
MATHEMATICA
Table[Count[IntegerPartitions[n], p_ /; ! MemberQ[p, Length[p] + 3*Min[p]]], {n, 50}]
CROSSREFS
Cf. A097092.
Sequence in context: A321176 A240573 A160571 * A184641 A225490 A076972
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Feb 28 2014
STATUS
approved