A092524 Binary representation of n interpreted in base p, where p is the smallest prime factor of n: p = A020639(n).

1, 2, 4, 4, 26, 6, 57, 8, 28, 10, 1343, 12, 2367, 14, 40, 16, 83522, 18, 130341, 20, 91, 22, 280394, 24, 751, 26, 112, 28, 732512, 30, 954305, 32, 244, 34, 3131, 36, 69345327, 38, 256, 40, 115925123, 42, 147087994, 44, 280, 46, 229451087, 48

Offset

1,2

Comments

n>1: a(n) = n iff n is even.

a(n) = A005836(n) iff n=6k-3, k>0 (see A016945).

The following sequences all appear to have the same parity: A003071, A029886, A061297, A092524, A093431, A102393, A104258, A122248, A128975. - Jeremy Gardiner, Dec 28 2008

Links

Table of n, a(n) for n=1..48.

Example

n = 35 = 7*5 = '100011': 2^5 + 2^1 + 2^0 -> a(35) = 5^5 + 5^1 + 5^0 = 3125+5+1 = 3131.

Mathematica

a[n_] := If[EvenQ[n], n, FromDigits[IntegerDigits[n, 2], FactorInteger[n][[1, 1]]]]; Array[a, 50] (* Amiram Eldar, Aug 02 2020 *)

Crossrefs

Cf. A005836, A007088, A020639.

Cf. A003071, A029886, A061297, A092524, A093431, A102393, A104258, A122248, A128975.

Sequence in context: A009296 A068554 A371373 * A137787 A225171 A320600

Adjacent sequences: A092521 A092522 A092523 * A092525 A092526 A092527

Keyword

nonn,base

Author

Reinhard Zumkeller, Apr 07 2004

Status

approved