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!)
 A298430 Numbers n such that there are precisely 13 groups of orders n and n + 1. 3
 82323, 390446, 622916, 774548, 793827, 876932 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Equivalently, lower member of consecutive terms of A292896. LINKS H. U. Besche, B. Eick and E. A. O'Brien, A Millennium Project: Constructing Small Groups, Internat. J. Algebra and Computation, 12 (2002), 623-644. Gordon Royle, Numbers of Small Groups FORMULA Sequence is { n | A000001(n) = 13, A000001(n+1) = 13 }. EXAMPLE For n = 82323, A000001(82323) = A000001(82324) = 13. For n = 390446, A000001(390446) = A000001(390447) = 13. For n = 622916, A000001(622916) = A000001(622917) = 13. MAPLE with(GroupTheory): for n from 1 to 10^6 do if [NumGroups(n), NumGroups(n+1)] = [13, 13] then print(n); fi; od; CROSSREFS Cf. A000001. Subsequence of A292896 (Numbers n having precisely 13 groups of order n). Numbers n having precisely k groups of orders n and n+1: A295230 (k=2), A295990 (k=4), A295991 (k=5), A295992 (k=6), A295993 (k=8), A298427 (k=9), A298428 (k=10), A295994 (k=11), A298429 (k=12), this sequence (k=13), A298431 (k=14), A295995 (k=15). Sequence in context: A204667 A288472 A162184 * A262794 A230786 A253937 Adjacent sequences:  A298427 A298428 A298429 * A298431 A298432 A298433 KEYWORD nonn,more AUTHOR Muniru A Asiru, Jan 19 2018 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 16 07:59 EDT 2021. Contains 343030 sequences. (Running on oeis4.)