cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A097799 #7 Feb 16 2025 08:32:54
%S A097799 1,2,3,5,7,14,20,27,37,49,85,111,143,184,234,374,585,727,899,1360,
%T A097799 1664,2028,2985,4343,5218,6252,7474,8913,12591,14918,17639,24519,
%U A097799 33836,39646,46377,54165,63162,85507,99276,115103,133276,154116,205308,272190
%N A097799 Number of partitions of the n-th deficient number into deficient numbers.
%H A097799 Amiram Eldar, <a href="/A097799/b097799.txt">Table of n, a(n) for n = 1..10000</a>
%H A097799 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DeficientNumber.html">Deficient Number</a>
%H A097799 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Partition.html">Partition</a>
%t A097799 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 *)
%Y A097799 Cf. A005100, A000041, A097797, A097800.
%K A097799 nonn
%O A097799 1,2
%A A097799 _Reinhard Zumkeller_, Aug 25 2004