A354955 Perfect powers j^k, such that k is the exponent of 2 in the factorization of j^k.

4, 8, 16, 32, 36, 64, 100, 128, 196, 216, 256, 324, 484, 512, 676, 900, 1000, 1024, 1156, 1296, 1444, 1764, 2048, 2116, 2500, 2744, 2916, 3364, 3844, 4096, 4356, 4900, 5476, 5832, 6084, 6724, 7396, 7776, 8100, 8192, 8836, 9604, 10000, 10404, 10648, 11236, 12100

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Formula

a(n) = 4 * A354956(n).

Prog

(PARI) for(k=1, 15000, my(i=ispower(k)); if(i&&valuation(k, 2)==i, print1(k, ", ")))

Crossrefs

Cf. A000079, A001597, A354956.

Sequence in context: A181800 A319180 A075090 * A304250 A368681 A322793

Adjacent sequences: A354952 A354953 A354954 * A354956 A354957 A354958

Keyword

nonn

Author

Hugo Pfoertner, Jun 13 2022

Status

approved