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Revision History for A112212 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
McKay-Thompson series of class 84C for the Monster group.
(history; published version)
#26 by Charles R Greathouse IV at Fri Mar 12 22:24:43 EST 2021
LINKS

M. Michael Somos, <a href="/A010815/a010815.txt">Introduction to Ramanujan theta functions</a>

Discussion
Fri Mar 12
22:24
OEIS Server: https://oeis.org/edit/global/2897
#25 by N. J. A. Sloane at Wed Nov 13 21:58:47 EST 2019
LINKS

M. Somos, <a href="http://somos.crg4.comA010815/multiqa010815.htmltxt">Introduction to Ramanujan theta functions</a>

Discussion
Wed Nov 13
21:58
OEIS Server: https://oeis.org/edit/global/2832
#24 by Bruno Berselli at Wed Jun 13 03:41:14 EDT 2018
STATUS

reviewed

approved

#23 by Michel Marcus at Tue Jun 12 03:05:45 EDT 2018
STATUS

proposed

reviewed

#22 by Michael Somos at Thu Jun 07 12:53:58 EDT 2018
STATUS

editing

proposed

#21 by Michael Somos at Thu Jun 07 12:52:48 EDT 2018
LINKS

M. Somos, <a href="http://somos.crg4.com/multiq.pdfhtml">Introduction to Ramanujan theta functions</a>

FORMULA

Euler transform of period 28 sequence [ 1, -1, 1, 0, 1, -1, 2, 0, 1, -1, 1, 0, 1, -2, 1, 0, 1, -1, 1, 0, 2, -1, 1, 0, 1, -1, 1, 0, ...]. - Michael Somos, Dec 03 2013

PROG

(PARI) {a(n) = my(A); if( n<-1, 0, n++; 0, A = x * O(x^n); polcoeff( eta(x^2 + A)^2 * eta(x^14 + A)^2 / (eta(x + A) * eta(x^4 + A) * eta(x^7 + A) * eta(x^28 + A)), n))}; /* Michael Somos, Dec 03 2013 */

STATUS

proposed

editing

Discussion
Thu Jun 07
12:53
Michael Somos: Space edit. Removed n++ thanks to Michel. I prefer "multiq.html" and I wish the change were done globally.
#20 by Michel Marcus at Thu Jun 07 02:13:29 EDT 2018
STATUS

editing

proposed

Discussion
Thu Jun 07
10:32
Michel Marcus: the pari program gives 0, 1, 1, 1, 1, 2, 3, 2, 3, 3 for n=1..10; it seems the n++;  should go ?
#19 by Michel Marcus at Thu Jun 07 02:13:26 EDT 2018
LINKS

M. Somos, <a href="http://cis.csuohio.edu/~somos.crg4.com/multiq.pdf">Introduction to Ramanujan theta functions</a>

#18 by Michel Marcus at Thu Jun 07 02:12:58 EDT 2018
REFERENCES

D. Ford, J. McKay and S. P. Norton, More on replicable functions, Commun. Algebra 22, No. 13, 5175-5193 (1994).

LINKS

D. Ford, J. McKay and S. P. Norton, <a href="http://dx.doi.org/10.1080/00927879408825127">More on replicable functions</a>, Commun. Algebra 22, No. 13, 5175-5193 (1994).

STATUS

proposed

editing

#17 by G. C. Greubel at Wed Jun 06 19:23:19 EDT 2018
STATUS

editing

proposed