The On-Line Encyclopedia of Integer Sequences (OEIS)

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A126843

Ramanujan numbers (A000594) read mod 13^2.
(history; published version)

#10 by OEIS Server at Mon Jan 06 01:22:42 EST 2025

LINKS

Amiram Eldar, <a href="/A126843/b126843_1.txt">Table of n, a(n) for n = 1..10000</a>

#9 by Joerg Arndt at Mon Jan 06 01:22:42 EST 2025

STATUS

reviewed

approved

Discussion

Mon Jan 06

01:22

OEIS Server: Installed first b-file as b126843.txt.

#8 by Seiichi Manyama at Mon Jan 06 00:14:13 EST 2025

STATUS

proposed

reviewed

#7 by Amiram Eldar at Mon Jan 06 00:05:57 EST 2025

STATUS

editing

proposed

#6 by Amiram Eldar at Sun Jan 05 23:53:36 EST 2025

LINKS

Amiram Eldar, <a href="/A126843/b126843_1.txt">Table of n, a(n) for n = 1..10000</a>

#5 by Amiram Eldar at Sun Jan 05 23:53:24 EST 2025

MATHEMATICA

a[n_] := Mod[RamanujanTau[n], 169]; Array[a, 100] (* Amiram Eldar, Jan 05 2025 *)

PROG

(PARI) a(n) = ramanujantau(n) % 169; \\ Amiram Eldar, Jan 05 2025

#4 by Amiram Eldar at Sun Jan 05 23:52:57 EST 2025

REFERENCES

H. P. F. Swinnerton-Dyer, On l-adic representations and congruences for coefficients, of modular forms, pp. 1-55 of Modular Functions of One Variable III (Antwerp 1972), Lect. Notes Math., 350, 1973.

LINKS

H. P. F. Swinnerton-Dyer, <a href="http://dx.doi.org/10.1007/978-3-540-37802-0_1">On l-adic representations and congruences for coefficients of modular forms</a>, pp. 1-55 of Modular Functions of One Variable III (Antwerp 1972), Lect. Notes Math., 350, 1973.

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:50:37 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Feb 25 2007

Discussion

Fri Mar 30

16:50

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

#2 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), Feb 25 2007

#1 by N. J. A. Sloane at Fri May 11 03:00:00 EDT 2007

NAME

Ramanujan numbers (A000594) read mod 13^2.

DATA

1, 145, 83, 49, 98, 36, 156, 149, 94, 14, 65, 11, 73, 143, 22, 7, 82, 110, 55, 70, 104, 130, 37, 30, 2, 107, 165, 39, 92, 148, 90, 63, 156, 60, 78, 43, 120, 32, 144, 68, 149, 39, 76, 143, 86, 126, 66, 74, 128, 121, 46, 28, 75, 96, 117, 91, 2, 158, 72, 64, 107, 37, 130, 38, 56, 143

OFFSET

1,2

REFERENCES

CROSSREFS

Cf. A000594.

KEYWORD

nonn

AUTHOR

njas, Feb 25 2007

STATUS

approved