A061463 -id:A061463 - cp's OEIS frontend

A061464 Denominator of 1/(1^1) + 1/(2^2) + 1/(3^3) + ... 1/(n^n).

1, 1, 4, 108, 6912, 21600000, 583200000, 480290277600000, 31476303632793600000, 16727798278915463577600000, 52274369621610823680000000000, 14914487726878692033020558868480000000000

Offset: 0

Amarnath Murthy, May 04 2001

			1, 5/4, 139/108, 8923/6912,...

Cf. A061463, A073009.

summ := 0; for n from 1 to 15 do printf("%d ", denom(summ)); if (1 = 1) then summ := summ + 1/n^n: end if; od;

Join[{1},Denominator/@Table[Sum[1/i^i,{i,n}],{n,12}]] (* Harvey P. Dale, Jul 03 2011 *)

a(n) = denominator(sum(k=1, n, 1/(k^k))) \\ Thomas Scheuerle, Feb 26 2025

A061463(n)/a(n) = Integral_{x=0..1} Gamma(n, -x*log(x))/(x^x*Gamma(n)) dx. - Thomas Scheuerle, Feb 26 2025

More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 19 2001

a(12) from Harvey P. Dale, Jul 03 2011

A120264 Numerator of Sum_{k=1..n} (-1)^(k+1)/k^k.

Original entry on oeis.org

1, 3, 85, 5413, 16922537, 456895999, 376274084904457, 24659496552164597077, 13105067550356276873597957, 40953336089635928267832533257, 11684464736880059106484670339210887010027

Offset: 1

Alexander Adamchuk, Jun 30 2006

Denominator of Sum_{k=1..n} (1/k^k)*(-1)^(k+1) is A061464(n).

Sum_{k>=1} (-1)^(k+1)/k^k = Integral_{x=0..1} x^x dx = 0.7834305107121344... A083648(n) gives its decimal expansion {7, 8, 3, 4, 3, 0, 5, 1, 0, 7, 1, 2, 1, 3, 4, 4, 0, 7, 0, 5, 9, ...}. - Alexander Adamchuk, Aug 21 2006

Eric Weisstein's World of Mathematics, Sophomore's Dream.

Cf. A061463, A061464.

Cf. A083648.

Numerator[Table[Sum[1/k^k*(-1)^(k+1),{k,1,n}],{n,1,20}]]

a(n) = numerator(Sum_{k=1..n} (1/k^k)*(-1)^(k+1)).

cp's OEIS Frontend

A061464 Denominator of 1/(1^1) + 1/(2^2) + 1/(3^3) + ... 1/(n^n).

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