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 A097800 Number of partitions of the n-th abundant number into abundant numbers. 3
 1, 1, 1, 2, 2, 4, 2, 4, 7, 8, 5, 14, 14, 5, 23, 26, 18, 38, 17, 46, 65, 34, 75, 50, 106, 59, 125, 175, 203, 275, 326, 243, 434, 519, 675, 477, 806, 1044, 1244, 985, 1604, 1902, 2420, 1892, 2887, 2391, 3632, 2932, 4342, 5424, 4509, 6460, 5513, 8021, 9557, 11817 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Abundant Number Eric Weisstein's World of Mathematics, Partition EXAMPLE a(8)=4: A005101(8)=42 = A005101(5)+A005101(1)=30+12 = A005101(4)+A005101(2)=24+18 = A005101(2)+2*A005101(1)=18+12+12. MATHEMATICA n = 245; 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 *) CROSSREFS Cf. A005101, A000041, A097798, A097799. Sequence in context: A222153 A219403 A219451 * A183402 A217839 A083779 Adjacent sequences:  A097797 A097798 A097799 * A097801 A097802 A097803 KEYWORD nonn AUTHOR Reinhard Zumkeller, Aug 25 2004 STATUS approved

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Last modified September 17 01:53 EDT 2021. Contains 347478 sequences. (Running on oeis4.)