A096250 Decimal expansion of Sum_{n>=1} 1/n^prime(n).

1, 1, 2, 9, 1, 7, 6, 2, 8, 2, 0, 5, 0, 2, 6, 8, 4, 7, 4, 9, 3, 8, 2, 9, 8, 5, 6, 6, 7, 0, 3, 9, 0, 5, 3, 6, 8, 1, 4, 2, 5, 0, 0, 5, 4, 0, 3, 7, 4, 3, 9, 4, 6, 4, 9, 1, 0, 7, 2, 7, 6, 3, 2, 2, 4, 4, 3, 5, 8, 4, 7, 3, 3, 0, 7, 3, 9, 2, 8, 5, 4, 3, 4, 0, 7, 1, 0, 3, 2, 7, 9, 4, 3, 4, 1, 2, 7, 2, 8, 9, 3, 1, 6, 2, 9

Offset

1,3

Links

Table of n, a(n) for n=1..105.

Prog

(PARI) xtothepx(n) = { local(x, s, a); default(realprecision, 200); s=0; print1(1", "); for(x=1, n, s+=1./x^prime(x)); a=Vec(Str(s)); for(x=3, n, print1(eval(a[x]), ", ")); print(); print(s) }
(PARI) suminf(n=1, 1/n^prime(n)) \\ Michel Marcus, Nov 18 2020

Crossrefs

Cf. A062481 (n^prime(n)).

Sequence in context: A143233 A266264 A011216 * A016595 A144806 A201738

Adjacent sequences: A096247 A096248 A096249 * A096251 A096252 A096253

Keyword

nonn,cons

Author

Cino Hilliard, Jul 31 2004

Status

approved