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A097797 Number of partitions of n into deficient numbers. 4
1, 2, 3, 5, 7, 10, 14, 20, 27, 37, 49, 65, 85, 111, 143, 184, 234, 297, 374, 469, 585, 727, 899, 1108, 1360, 1664, 2028, 2464, 2985, 3606, 4343, 5218, 6252, 7474, 8913, 10605, 12591, 14918, 17639, 20816, 24519, 28829, 33836, 39646, 46377, 54165, 63162 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

Eric Weisstein's World of Mathematics, Deficient Number

Eric Weisstein's World of Mathematics, Partition

EXAMPLE

n=10: 6 is the only non-deficient number <= 10 and five partitions of 10 contain 6 as part: 6 + 4 = 6 + 3 + 1 = 6 + 2 + 2 = 6 + 2 + 1 + 1 = 6 + 1 + 1 + 1 + 1, therefore a(10) = A000041(10) - 5 = 42 - 5 = 37.

CROSSREFS

Cf. A005100, A000041, A097799, A097798, A097796, A097795.

Sequence in context: A094023 A123630 A035967 * A219601 A035975 A035984

Adjacent sequences:  A097794 A097795 A097796 * A097798 A097799 A097800

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 25 2004

STATUS

approved

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Last modified June 25 04:06 EDT 2019. Contains 324345 sequences. (Running on oeis4.)