The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A047639 Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^14 in powers of x. 1
 1, -14, 91, -364, 987, -1820, 1897, 754, -8008, 18928, -26845, 19460, 15015, -76272, 141065, -163072, 90727, 99386, -368277, 602616, -643734, 358190, 274547, -1101100, 1801086, -1982330, 1344525, 148316, -2163590, 4032756, -4938843, 4216576 (list; graph; refs; listen; history; text; internal format)
 OFFSET 14,2 LINKS Alois P. Heinz, Table of n, a(n) for n = 14..10000 H. Gupta, On the coefficients of the powers of Dedekind's modular form, J. London Math. Soc., 39 (1964), 433-440. H. Gupta, On the coefficients of the powers of Dedekind's modular form (annotated and scanned copy) MAPLE g:= proc(n) option remember; `if`(n=0, 1, add(add([-d, d, -2*d, d]       [1+irem(d, 4)], d=numtheory[divisors](j))*g(n-j), j=1..n)/n)     end: b:= proc(n, k) option remember; `if`(k=0, 1, `if`(k=1, `if`(n=0, 0, g(n)),       (q-> add(b(j, q)*b(n-j, k-q), j=0..n))(iquo(k, 2))))     end: a:= n-> b(n, 14): seq(a(n), n=14..45);  # Alois P. Heinz, Feb 07 2021 MATHEMATICA nmax = 45; CoefficientList[Series[(Product[(1 - (-x)^j), {j, 1, nmax}] - 1)^14, {x, 0, nmax}], x] // Drop[#, 14] & (* Ilya Gutkovskiy, Feb 07 2021 *) CROSSREFS Sequence in context: A200191 A266805 A301380 * A202291 A010930 A220892 Adjacent sequences:  A047636 A047637 A047638 * A047640 A047641 A047642 KEYWORD sign AUTHOR EXTENSIONS Definition and offset edited by Ilya Gutkovskiy, Feb 07 2021 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)