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.

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A349868 Nobly abundant numbers (A349758) that are not abundant numbers (A005101).

Original entry on oeis.org

315, 495, 525, 585, 675, 693, 735, 765, 819, 825, 850, 855, 884, 950, 975, 988, 1012, 1035, 1071, 1078, 1125, 1150, 1196, 1197, 1210, 1215, 1274, 1275, 1276, 1287, 1292, 1305, 1323, 1364, 1395, 1425, 1449, 1450, 1508, 1550, 1564, 1612, 1617, 1628, 1665, 1666
Offset: 1

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Author

Amiram Eldar, Dec 03 2021

Keywords

Comments

This sequence if infinite. For example, 45*p is a term if p is a prime > 5.

Examples

			315 is a term since it is not abundant, A000203(315) = 624 < 2*315 = 630, and both A000005(315) = 12 and A000203(315) = 624 are abundant numbers.
		

Crossrefs

Intersection of A263837 and A349758.

Programs

  • Mathematica
    abQ[n_] := DivisorSigma[1, n] > 2*n; nobAbQ[n_] := And @@ abQ /@ DivisorSigma[{0, 1}, n]; Select[Range[2000], !abQ[#] && nobAbQ[#] &]
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