The On-Line Encyclopedia of Integer Sequences (OEIS)

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A035235

Indices of the nonzero terms in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m= -31.
(history; published version)

#7 by Joerg Arndt at Thu Jul 30 12:19:54 EDT 2020

STATUS

proposed

approved

#6 by Andrey Zabolotskiy at Thu Jul 30 11:58:06 EDT 2020

STATUS

editing

proposed

#5 by Andrey Zabolotskiy at Thu Jul 30 11:25:29 EDT 2020

NAME

Nonzero Indices of the nonzero terms in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m= -31.

DATA

1, 2, 4, 5, 7, 8, 9, 10, 14, 16, 18, 19, 20, 25, 28, 31, 32, 35, 36, 38, 40, 41, 45, 47, 49, 50, 56, 59, 62, 63, 64, 67, 70, 71, 72, 76, 80, 81, 82, 90, 94, 95, 97, 98, 100, 101, 103, 107, 109, 112, 113, 118, 121, 124, 125, 126, 128, 131, 133, 134, 140, 142

PROG

(PARI) m=-31; select(x -> x, direuler(p=2, 101, 1/(1-(kronecker(m, p)*(X-X^2))-X)), 1)

CROSSREFS

Cf. A035159 (the expansion itself).

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Edited and extended by Andrey Zabolotskiy, Jul 30 2020

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 16:47:33 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:47

OEIS Server: https://oeis.org/edit/global/110

#3 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,new

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

PROG

(PARI.2.0.11) direuler(p=2, 101, 1/(1-(kronecker(m, p)*(X-X^2))-X))

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Nonzero terms in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^(-s)+Kronecker(m,p)*p^(-2s))^(-1) for m= -31.

DATA

1, 2, 4, 5, 7, 8, 9, 10, 14, 16, 18, 19, 20, 25, 28, 31, 32, 35, 36, 38, 40, 41, 45, 47, 49, 50, 56, 59, 62, 63, 64, 67, 70, 71, 72, 76, 80, 81, 82, 90, 94, 95, 97, 98, 100, 101

OFFSET

1,2

PROG

(PARI.2.0.11) direuler(p=2, 101, 1/(1-(kronecker(m, p)*(X-X^2))-X))

KEYWORD

nonn

AUTHOR

njas

STATUS

approved