This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A081055 Number of partitions of 2n in which no parts are multiples of 4. 4
 1, 2, 4, 9, 16, 29, 50, 82, 132, 208, 320, 484, 722, 1060, 1539, 2210, 3138, 4416, 6163, 8528, 11716, 15986, 21666, 29190, 39104, 52098, 69060, 91106, 119634, 156416, 203664, 264128, 341256, 439321, 563600, 720648, 918530, 1167154, 1478720 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Euler transform of period 16 sequence [2,1,3,1,3,0,2,0,2,0,3,1,3,1,2,0,...]. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..10000 FORMULA G.f.: (sum_{n>=0} x^A074378(n))/(sum_n (-x)^n^2). a(n) = A001935(2n). a(n) ~ exp(Pi*sqrt(n)) / (2^(7/2) * n^(3/4)). - Vaclav Kotesovec, Nov 15 2017 PROG (PARI) a(n)=local(X); if(n<0, 0, X=x+x*O(x^(2*n)); polcoeff(eta(X^4)/eta(X), 2*n)) CROSSREFS Cf. A001935, A074378, A081056. Sequence in context: A090676 A261240 A000291 * A034446 A174511 A034452 Adjacent sequences:  A081052 A081053 A081054 * A081056 A081057 A081058 KEYWORD nonn,easy AUTHOR Michael Somos, Mar 03 2003 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 July 22 10:03 EDT 2019. Contains 325219 sequences. (Running on oeis4.)