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Revision History for A333297 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A333297 a(n) = Sum_{i=1..n, j=1..n, gcd(i,j)=1} i.
(history; published version)
#27 by Alois P. Heinz at Fri Nov 27 07:06:23 EST 2020
STATUS

proposed

approved

#26 by Jean-François Alcover at Fri Nov 27 07:03:53 EST 2020
STATUS

editing

proposed

#25 by Jean-François Alcover at Fri Nov 27 07:03:48 EST 2020
MATHEMATICA

a[n_] := a[n] = If[n < 2, n, a[n - 1] + 3 n EulerPhi[n]/2];

Array[a, 50] (* Jean-François Alcover, Nov 27 2020, after Alois P. Heinz *)

STATUS

approved

editing

#24 by Alois P. Heinz at Thu Mar 26 09:26:45 EDT 2020
STATUS

editing

approved

#23 by Alois P. Heinz at Thu Mar 26 09:26:43 EDT 2020
MAPLE

# second Maple program:

# second Maple program: a:= proc(n) option remember; `if`(n<2, n,

#22 by Alois P. Heinz at Thu Mar 26 09:26:28 EDT 2020
FORMULA

a(n) = a(n-1) + n3*phi(n) + *phi(n^2)/2 for n > 1, a(n) = n for n <= 1.

a(n) = 1 + Sum_{k=2..n} (k} 3*phi(k) + *phi(k^2)/2). (. (End)

MAPLE

# second Maple program:: a:= proc(n) option remember; `if`(n<2, n,

a:= proc(n) option remember; uses numtheory:

`if`(n<2, n, a(n-1) + n3*phi(n) + *numtheory[phi(](n^2)/2)

STATUS

approved

editing

#21 by Alois P. Heinz at Thu Mar 26 06:36:05 EDT 2020
STATUS

reviewed

approved

#20 by Michel Marcus at Thu Mar 26 05:22:58 EDT 2020
STATUS

proposed

reviewed

#19 by Hugo Pfoertner at Thu Mar 26 05:17:30 EDT 2020
STATUS

editing

proposed

#18 by Hugo Pfoertner at Thu Mar 26 05:16:18 EDT 2020
FORMULA

a(n) = a(n-1) + 3 * A023896(n) for n > 1. - Hugo Pfoertner, Mar 26 2020

STATUS

approved

editing

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Last modified September 1 13:08 EDT 2024. Contains 375591 sequences. (Running on oeis4.)