A339214 Factorial-base self numbers: numbers not of the form k + A034968(k).

1, 4, 11, 18, 36, 43, 61, 68, 86, 93, 111, 118, 125, 132, 139, 157, 164, 182, 189, 207, 214, 232, 239, 246, 253, 260, 278, 285, 303, 310, 328, 335, 353, 360, 367, 374, 381, 399, 406, 424, 431, 449, 456, 474, 481, 488, 495, 502, 520

Offset

1,2

Comments

Analogous to self numbers (A003052) using factorial base representation (A007623) instead of decimal expansion.

References

József Sándor and Borislav Crstici, Handbook of Number theory II, Kluwer Academic Publishers, 2004, Chapter 4, p. 384-386.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Rosalind Guaraldo, On the Density of the Image Sets of Certain Arithmetic Functions - III, The Fibonacci Quarterly, Vol. 16, No. 6 (1978), pp. 481-488.

Eric Weisstein's World of Mathematics, Self Number.

Wikipedia, Factorial number system.

Wikipedia, Self number.

Index entries for Colombian or self numbers and related sequences

Mathematica

max = 6; s[n_] := n + Plus @@ IntegerDigits[n, MixedRadix[Range[max, 2, -1]]]; m = max!; Complement[Range[m], Array[s, m]]

Crossrefs

Cf. A003052, A007623, A010061, A010064, A010067, A010070, A034968, A118363, A339211, A339212, A339213, A339215.

Sequence in context: A024989 A210464 A301108 * A008061 A361434 A360038

Adjacent sequences: A339211 A339212 A339213 * A339215 A339216 A339217

Keyword

nonn,base

Author

Amiram Eldar, Nov 27 2020

Status

approved