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Revision History for A168077

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A168077

a(2n) = A129194(2n)/2; a(2n+1) = A129194(2n+1).
(history; published version)

#72 by Michel Marcus at Mon Nov 28 08:16:41 EST 2022

STATUS

reviewed

approved

#71 by Joerg Arndt at Mon Nov 28 07:58:24 EST 2022

STATUS

proposed

reviewed

#70 by Amiram Eldar at Mon Nov 28 07:09:31 EST 2022

STATUS

editing

proposed

#69 by Amiram Eldar at Mon Nov 28 06:53:36 EST 2022

FORMULA

Sum_{k=1..n} a(k) ~ (5/24) * n^3. - Amiram Eldar, Nov 28 2022

STATUS

approved

editing

#68 by Charles R Greathouse IV at Thu Sep 08 08:45:48 EDT 2022

PROG

(MAGMAMagma) I:=[0, 1, 1, 9, 4, 25]; [n le 6 select I[n] else 3*Self(n-2)-3*Self(n-4)+Self(n-6): n in [1..60]]; // Vincenzo Librandi, Jul 10 2016

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#67 by N. J. A. Sloane at Sat Sep 05 20:19:42 EDT 2020

STATUS

proposed

approved

#66 by Wesley Ivan Hurt at Mon Aug 31 00:13:48 EDT 2020

STATUS

editing

proposed

#65 by Wesley Ivan Hurt at Mon Aug 31 00:13:35 EDT 2020

FORMULA

a(2n2*n) = A000290(n); a(2n2*n+1) = A016754(n).

Sum_{n>0} 1/a(n) = piPi^2 * 7 / 24. (End)

STATUS

proposed

editing

#64 by Werner Schulte at Sun Aug 30 16:23:21 EDT 2020

STATUS

editing

proposed

#63 by Werner Schulte at Sun Aug 30 16:16:48 EDT 2020

FORMULA

From Werner Schulte, Aug 30 2020: (Start)

Multiplicative with a(2^e) = 2^(2*e-2) for e > 0, and a(p^e) = p^(2*e) for prime p > 2.

Dirichlet g.f.: zeta(s-2) * (1 - 3/2^s).

Dirichlet convolution with A259346 equals A000290.

Sum_{n>0} 1/a(n) = pi^2 * 7 / 24. (End)

STATUS

approved

editing