The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A034952 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A034952

Expansion of eta(16z)^4*eta(4z)^2.
(history; published version)

#13 by R. J. Mathar at Mon Feb 22 11:23:33 EST 2021

STATUS

editing

approved

#12 by R. J. Mathar at Mon Feb 22 11:22:25 EST 2021

MAPLE

nmax := 30;

eta := product(1-q^i, i=1..nmax) ; # eta=A010815

g := subs(q=q^4, eta)^4*eta^2 ;

g := taylor(g, q=0, nmax+1) ;

seq( coeftayl(g, q=0, i), i=0..nmax) ; # R. J. Mathar, Feb 22 2021

CROSSREFS

Cf. A010815.

STATUS

proposed

editing

#11 by R. J. Mathar at Mon Feb 22 10:43:39 EST 2021

STATUS

editing

proposed

#10 by R. J. Mathar at Mon Feb 22 10:43:28 EST 2021

COMMENTS

Apparently this is the convolution square of A255252. - R. J. Mathar, Feb 22 2021

REFERENCES

Ono and Skinner, Ann. Math., 147 (1998), 453-470.

LINKS

Ono and Skinner, <a href="https://doi.org/10.2307/121015">Fourier coefficients of half-integral weight modular forms modulo l</a>, Ann. Math., 147 (1998), 453-470.

STATUS

approved

editing

#9 by N. J. A. Sloane at Tue Jul 31 18:37:01 EDT 2018

STATUS

proposed

approved

#8 by Michael De Vlieger at Tue Jul 31 15:38:36 EDT 2018

STATUS

editing

proposed

#7 by Michael De Vlieger at Tue Jul 31 15:38:34 EDT 2018

LINKS

Johann Cigler, <a href="https://homepage.univie.ac.at/johann.cigler/preprints/losanitsch3.pdf">Some Pascal-like triangles</a>, 2018.

STATUS

approved

editing

#6 by Russ Cox at Sat Mar 31 10:30:18 EDT 2012

EXTENSIONS

More terms from _James A. Sellers (sellersj(AT)math.psu.edu), _, Feb 09 2000

Discussion

Sat Mar 31

10:30

OEIS Server: https://oeis.org/edit/global/639

#5 by Russ Cox at Fri Mar 30 16:47:32 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

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

KEYWORD

sign,easy,new

AUTHOR

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