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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A296025 Numbers n such that there are precisely 2 groups of order n and 3 of order n + 1. 0
74, 362, 866, 2066, 2174, 3974, 4894, 5042, 5914, 6626, 7934, 10334, 10886, 12634, 15122, 16538, 17474, 19238, 20318, 20338, 20666, 21974, 23774, 23882, 24422, 25094, 28922, 31478, 33134, 35138, 36878, 38174, 41018, 41774, 42062, 42134, 46022, 48502 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..38.

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

Index entries for sequences related to groups

FORMULA

Sequence is { n | A000001(n) = 2, A000001(n+1) = 3 }.

EXAMPLE

74 is in the sequence since A000001(74) = 2 and A000001(75) = 3.

362 is in the sequence since A000001(362) = 2 and A000001(363) = 3.

7934 is in the sequence since A000001(7934) = 2 and A000001(7935) = 3.

MAPLE

with(GroupTheory): with(numtheory):

for n from 1 to 10^4 do if [NumGroups(n), NumGroups(n+1)]=[2, 3] then print(n); fi; od;

CROSSREFS

Cf. A000001. Subsequence of A054395.

Sequence in context: A046833 A205754 A238022 * A204362 A321114 A205584

Adjacent sequences:  A296022 A296023 A296024 * A296026 A296027 A296028

KEYWORD

nonn

AUTHOR

Muniru A Asiru, Dec 03 2017

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 3 18:24 EDT 2022. Contains 357237 sequences. (Running on oeis4.)