A097799 Number of partitions of the n-th deficient number into deficient numbers.

1, 2, 3, 5, 7, 14, 20, 27, 37, 49, 85, 111, 143, 184, 234, 374, 585, 727, 899, 1360, 1664, 2028, 2985, 4343, 5218, 6252, 7474, 8913, 12591, 14918, 17639, 24519, 33836, 39646, 46377, 54165, 63162, 85507, 99276, 115103, 133276, 154116, 205308, 272190

Offset: 1

Author

Reinhard Zumkeller, Aug 25 2004

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Deficient Number
• Eric Weisstein's World of Mathematics, Partition

Crossrefs

Cf. A005100, A000041, A097797, A097800.

Programs

Mathematica

n = 60; d = Select[Range[n], DivisorSigma[1, #] < 2 # &]; CoefficientList[ Series[1/Product[1 - x^d[[i]], {i, 1, Length[d]}], {x, 0, n}], x][[d + 1]] (* Amiram Eldar, Aug 02 2019 *)