A372935 -id:A372935 - cp's OEIS frontend

A372936 Positions of new record minima A372935 in A071961.

0, 67, 163, 427, 643, 1027, 1963, 2467, 2707, 3547, 4387, 5347, 6163, 6187, 12043, 12787, 19123, 19603, 19963, 26227, 41683, 43987, 45643, 53227, 54883, 64123, 70027, 80083, 90907, 93883, 109387, 134347, 144787, 158227, 165427, 183307, 198763, 233203, 235987, 236347

Offset: 1

Hugo Pfoertner, May 17 2024

nonn

Apparently, a(n) == 1 (mod 6) for n>1.

Hugo Pfoertner, Table of n, a(n) for n = 1..62

A372935 are the corresponding minima.

Cf. A372728, A372933, A372934.

a372936(nmax) = {my (m=oo); for (n=0, nmax, my (s=sum (k=0, n, kronecker(n, k))); if (s

A071961 a(n) = Sum_{i=0..n} K(n, i) where K(x, y) is the Kronecker symbol (x / y).

Original entry on oeis.org

0, 2, 1, 0, 2, 0, 2, 4, 0, 6, 2, 2, 0, 0, 4, 6, 8, 0, 0, 2, 0, 0, 2, 6, 0, 20, 6, 0, 0, 0, 4, 12, 0, 0, 4, 4, 12, 0, 6, 12, 0, 0, 4, 0, 0, 0, 4, 10, 0, 42, 2, 4, 0, 0, 2, 18, 0, 0, 2, 6, 0, 0, 8, 2, 32, 0, 8, -2, 0, 0, 4, 14, 0, 0, 10, 4, 0, 0, 4, 22, 0, 54

Offset: 0

Benoit Cloitre, Jun 16 2002

a(n) = A096396(n) - A096397(n). - Reinhard Zumkeller, Mar 24 2012

a(n) < 0 for n in A071958. - Robert G. Wilson v, Mar 21 2015

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Row sums of A372728.

Records and their positions: A372933, A372934, A372935, A372936.

f[n_] := Sum[KroneckerSymbol[n, k], {k, 0, n}];
Table[f[n], {n, 0, 81}]  (* Robert G. Wilson v, Mar 21 2015 *)

for(n=0, 100, print1(sum(i=1, n, kronecker(n,i)), ","))

print([sum(kronecker(n, k) for k in range(n + 1)) for n in range(82)])
# Peter Luschny, May 16 2024

Offset set to 0, a(0) = 0 added, a(1) and name adapted by Peter Luschny, May 16 2024

cp's OEIS Frontend

A372936 Positions of new record minima A372935 in A071961.

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