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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A156229 Partial sums of A052343. 0
 1, 2, 3, 4, 5, 5, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 16, 16, 17, 17, 18, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27, 29, 29, 29, 30, 30, 32, 33, 34, 35, 35, 35, 37, 38, 38, 39, 41, 41, 42, 43, 43, 45, 45, 45, 45, 47, 49, 50, 51, 51, 52 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = (Pi/4)*n + O(sqrt(n)). LINKS V. Shevelev, Binary additive problems: theorems of Landau and Hardy-Littlewood type, arXiv:0902.1046 [math.NT], 2009-2012. FORMULA a(n) = sum_{k=1..r(n)} r(2n-k^2+k)-C(r(n),2) where r(n) = A000194(n+1). MATHEMATICA terms = 61; QP = QPochhammer; s = QP[q^2]^4/QP[q]^2 + O[q]^terms; Ceiling[CoefficientList[s, q]/2] // Accumulate (* Jean-François Alcover, Feb 17 2019 *) CROSSREFS Cf. A052343, A000194. Sequence in context: A088468 A049448 A130044 * A082081 A008475 A222416 Adjacent sequences:  A156226 A156227 A156228 * A156230 A156231 A156232 KEYWORD nonn AUTHOR Vladimir Shevelev, Feb 06 2009 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 April 8 14:52 EDT 2020. Contains 333314 sequences. (Running on oeis4.)