A250091 Decimal expansion of 1+2^(1/2)+3^(1/3)+4^(1/4)+5^(1/5)+6^(1/6)+7^(1/7).

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

Offset: 1

Author

Vincenzo Librandi, Nov 12 2014

Keywords

• nonn
• cons

Crossrefs

Cf. A037077.

Programs

Magma

1+2*2^(1/2)+3^(1/3)+5^(1/5)+6^(1/6)+7^(1/7);

Mathematica

RealDigits[1 + 2 2^(1/2) + 3^(1/3) + 5^(1/5) + 6^(1/6) + 7^(1/7), 10, 120][[1]]

PARI

sum(n=1,7,sqrtn(n,n)) \\ Charles R Greathouse IV, Apr 20 2016

Formula

Equals 9.3188817588682147714986428688188651966599608644706733821414765...