A038536 Odd values of n > 1 for which there are n-hyperperfect numbers.

3, 11, 19, 31, 35, 59, 75, 91, 111, 115, 131, 151, 179, 235, 255, 311, 335, 339, 371, 375, 399, 411, 431, 439, 495, 515, 531, 539, 551, 591, 619, 675, 739, 791, 795, 811, 839, 851, 871, 915, 951, 999, 1015, 1035, 1039, 1055, 1071, 1075, 1155, 1231, 1351

Offset

1,1

Comments

((3*a(i)+1)/2)^2*(3*a(i)+4) is a(i)-hyperperfect.

References

J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 177.

R. K. Guy, Unsolved Problems in Number Theory, B2.

Links

Table of n, a(n) for n=1..51.

J. S. McCranie, A study of hyperperfect numbers, J. Int. Seqs. Vol. 3 (2000) #P00.1.3.

Daniel Minoli, Issues In Non-Linear Hyperperfect Numbers, Mathematics of Computation, Vol. 34, No. 150, April 1980, pp. 639-645.

Crossrefs

Cf. A007592.

Sequence in context: A289840 A125994 A137295 * A175122 A031369 A014223

Adjacent sequences: A038533 A038534 A038535 * A038537 A038538 A038539

Keyword

nonn

Author

Jud McCranie

Status

approved