A339215 Primorial-base self numbers: numbers not of the form k + A276150(k).

1, 4, 11, 18, 25, 32, 35, 42, 49, 56, 63, 66, 73, 80, 87, 94, 97, 104, 111, 118, 125, 128, 135, 142, 149, 156, 159, 166, 173, 180, 187, 190, 197, 204, 229, 236, 243, 246, 253, 260, 267, 274, 277, 284, 291, 298, 305, 308, 315, 322, 329, 336, 339, 346, 353, 360

Offset

1,2

Comments

Analogous to self numbers (A003052) using primorial base representation (A049345) instead of decimal expansion.

References

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

Links

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

Eric Weisstein's World of Mathematics, Self Number.

Wikipedia, Primorial number system.

Wikipedia, Self number.

Index entries for Colombian or self numbers and related sequences

Mathematica

max = 4; bases = Prime@Range[max, 1, -1]; m = Times @@ bases; s[n_] := n + Plus @@ IntegerDigits[n, MixedRadix[bases]]; Complement[Range[m], Array[s, m]]

Crossrefs

Cf. A003052, A010061, A010064, A010067, A010070, A049345, A276150, A333426, A339211, A339212, A339213, A339214.

Sequence in context: A003327 A025403 A047703 * A242679 A017029 A009873

Adjacent sequences: A339212 A339213 A339214 * A339216 A339217 A339218

Keyword

nonn,base

Author

Amiram Eldar, Nov 27 2020

Status

approved