The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A332735 Numbers of graphs which are double triangle descendants of K_5 with four more vertices than triangles. 0
 1, 6, 15, 34, 61, 106, 162, 246, 342, 477, 626, 825, 1039, 1314, 1606, 1970, 2352, 2817, 3302, 3881, 4481, 5186, 5914, 6758, 7626, 8621, 9642, 10801, 11987, 13322, 14686, 16210, 17764, 19489, 21246, 23185, 25157, 27322, 29522, 31926, 34366, 37021, 39714, 42633, 45591, 48786 (list; graph; refs; listen; history; text; internal format)
 OFFSET 9,2 COMMENTS See Laradji, Mishna, Yeats paper for definition of double triangle descendants. LINKS Mohamed Laradji, Marni Mishna, and Karen Yeats, Some results on double triangle descendants of K_5, arXiv:1904.06923 [math.CO], 2019. Index entries for linear recurrences with constant coefficients, signature (2,0,-2,2,-2,0,2,-1). FORMULA G.f.: x^9*(1 + 4*x + 3*x^2 + 6*x^3 + 3*x^4 + 4*x^5 + 4*x^7 - 3*x^8 + 3*x^9 - x^10 + x^11)/((1 - x)^4*(1 + x)^2*(1 + x^2)). See Laradji, Mishna, Yeats paper for proof. CROSSREFS Double triangle descendants of K_5 with three more vertices than triangles is A007980. Double triangle descendants of K_5 with two more vertices than triangles is A008619. Double triangle descendants of K_5 with one more vertex than triangles is A000007. Double triangle descendants of K_5 with the same number of vertices as triangles is A000012. Sequence in context: A265395 A350596 A232604 * A120849 A358210 A338053 Adjacent sequences: A332732 A332733 A332734 * A332736 A332737 A332738 KEYWORD nonn,easy AUTHOR Karen A. Yeats, Feb 21 2020 STATUS approved

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

Last modified January 29 23:01 EST 2023. Contains 359939 sequences. (Running on oeis4.)