A253274 Exponent of the highest power of 2 dividing A007497(n).

1, 0, 2, 0, 3, 0, 3, 2, 3, 5, 3, 6, 2, 12, 3, 13, 3, 9, 6, 13, 10, 9, 7, 13, 9, 13, 5, 14, 6, 12, 11, 26, 0, 14, 15, 17, 6, 20, 15, 18, 17, 35, 10, 8, 23, 11, 15, 10, 16, 29, 32, 12, 19, 27, 25, 26, 18, 24, 33, 22, 36, 13, 24, 18, 24, 43, 16, 29, 35, 18, 12, 42

Offset

1,3

Links

Amiram Eldar, Table of n, a(n) for n = 1..1500

Formula

a(n) = A007814(A007497(n)).

Example

A007497(9) = 168 = 2^3*3*7, so a(n) = 3.

Mathematica

f[1] = 2; f[n_] := f[n] = DivisorSigma[1, f[n - 1]]; Table[IntegerExponent[f[n], 2], {n, 70}] (* Amiram Eldar, Mar 27 2023 *)

Crossrefs

Cf. A007497, A007814.

Sequence in context: A259708 A029220 A249901 * A365920 A337980 A343309

Adjacent sequences: A253271 A253272 A253273 * A253275 A253276 A253277

Keyword

nonn

Author

Allan C. Wechsler, May 01 2015

Extensions

More terms from Michel Marcus, May 01 2015

Status

approved