A115245 -id:A115245 - cp's OEIS frontend

A060803 a(n) = Sum_{k=0..n} 2^(2^k).

2, 6, 22, 278, 65814, 4295033110, 18446744078004584726, 340282366920938463481821351509772796182, 115792089237316195423570985008687907853610267032561502502939405359422902436118

Offset: 0

Varol Akman (akman(AT)cs.bilkent.edu.tr), Apr 28 2001

nonn

Partial sums of A001146.

Number of Boolean functions with up to n arguments. - Paul Tarau (paul.tarau(AT)gmail.com), Jun 06 2008

			a(3) = 278 because a(3) = 2^2^0 + 2^2^1 + 2^2^2 + 2^2^3 = 2 + 4 + 16 + 256.

Harry J. Smith, Table of n, a(n) for n = 0..11
Paul Tarau, Isomorphic Data Encodings and their Generalization to Hylomorphisms on Hereditarily Finite Data Types, 2009.

Cf. A001146, A001147, A115245.

-- code generating the infinite sequence:
scanl (+) 2 (map (\x->2^2^x) [1..]) - Paul Tarau (paul.tarau(AT)gmail.com), Jun 06 2008

Accumulate[2^(2^Range[0,10])] (* Harvey P. Dale, Sep 25 2023 *)

{ for (n=0, 11, write("b060803.txt", n, " ", sum(k=0, n, 2^(2^k))); ) } \\ Harry J. Smith, Jul 12 2009

a(0) = 2 and a(n) - a(n-1) = 2^2^n, n > 0.

More terms from Benoit Cloitre, May 13 2002

Edited by N. J. A. Sloane, Jun 07 2008

A130830 Irregular triangle read by rows: row(n) consists of the first A011764(n-1) terms of A006047.

Original entry on oeis.org

1, 2, 3, 1, 2, 3, 2, 4, 6, 3, 6, 9, 1, 2, 3, 2, 4, 6, 3, 6, 9, 2, 4, 6, 4, 8, 12, 6, 12, 18, 3, 6, 9, 6, 12, 18, 9, 18, 27, 2, 4, 6, 4, 8, 12, 6, 12, 18, 4, 8, 12, 8, 16, 24, 12, 24, 36, 6, 12, 18, 12, 24, 36, 18, 36, 54, 3, 6, 9, 6, 12, 18, 9, 18, 27, 6, 12, 18, 12, 24, 36, 18, 36, 54, 9, 18, 27

Offset: 1

Roger L. Bagula, Aug 20 2007

			Triangle begins:
{1, 2, 3},
{1, 2, 3, 2, 4, 6, 3, 6, 9},
{1, 2, 3, 2, 4, 6, 3, 6, 9, 2, 4, 6, 4, 8, 12, 6, 12, 18, 3, 6, 9, 6, 12, 18, 9, 18, 27, 2, 4, 6, 4, 8, 12, 6, 12, 18, 4, 8, 12, 8, 16, 24, 12, 24, 36, 6, 12, 18, 12, 24, 36, 18, 36, 54, 3, 6, 9, 6, 12, 18, 9, 18, 27, 6, 12, 18, 12, 24, 36, 18, 36, 54, 9, 18, 27, 18, 36, 54, 27, 54, 81}, ...

Cf. A011764, A115245, A130831.

Edited by N. J. A. Sloane, Jun 07 2008

cp's OEIS Frontend

A060803 a(n) = Sum_{k=0..n} 2^(2^k).

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