The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A289024 Exponents a(1), a(2), ... such that E_10, 1 - 264*q - 135432*q^2 + ... (A013974) is equal to (1-q)^a(1) (1-q^2)^a(2) (1-q^3)^a(3) ... . 9
 264, 170148, 47083784, 21265517460, 8675419078920, 3954919534878884, 1798749087973466376, 846151096977050604564, 402076970410851910136072, 193920175271783317402925220, 94372564731126150526919627016, 46330721199213296384252696382356 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence is related to the identity: E_4*E_6 = E_10. LINKS Seiichi Manyama, Table of n, a(n) for n = 1..367 FORMULA a(n) = A110163(n) + A288851(n) = 20 + (1/n) * (Sum_{d|n} A008683(n/d) * (1/3 * A288261(d) + 1/2 * A288840(d))). a(n) = (1/n) * Sum_{d|n} A008683(n/d) * A289639(d). - Seiichi Manyama, Jul 09 2017 a(n) ~ exp(2*Pi*n) / n. - Vaclav Kotesovec, Mar 08 2018 CROSSREFS Cf. A288968 (k=2), A110163 (k=4), A288851 (k=6), A288471 (k=8), this sequence (k=10), A288990/A288989 (k=12), A289029 (k=14). Cf. A008683, A288261 (E_6/E_4), A288840 (E_8/E_6), A289639. Sequence in context: A289062 A294181 A013974 * A145639 A285836 A116501 Adjacent sequences: A289021 A289022 A289023 * A289025 A289026 A289027 KEYWORD nonn AUTHOR Seiichi Manyama, Jun 22 2017 STATUS approved

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

Last modified September 18 20:23 EDT 2024. Contains 376002 sequences. (Running on oeis4.)