The OEIS mourns the passing of
Jim Simons
and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A334008
a(n) is the least integer that can be expressed as the sum of one or more consecutive nonzero pentagonal numbers in exactly n ways.
6
1, 287, 472320, 89051435880
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
LINKS
Table of n, a(n) for n=1..4.
Eric Weisstein's World of Mathematics,
Pentagonal Number
Index to sequences related to polygonal numbers
EXAMPLE
Let S(k, m) denote the sum of m pentagonal numbers starting from the k-th. We have
a(1) = S(1, 1);
a(2) = S(14, 1) = S(2, 7);
a(3) = S(103, 24) = S(19, 80) = S(67, 41);
a(4) = S(10833, 484) = S(4542, 1936) = S(9153, 660) = S(2817, 3036);
CROSSREFS
Cf.
A000326
,
A054859
,
A068314
,
A186337
,
A298467
,
A319184
,
A334007
,
A334010
,
A334011
,
A334012
.
Sequence in context:
A112245
A289339
A011817
*
A035882
A244512
A214301
Adjacent sequences:
A334005
A334006
A334007
*
A334009
A334010
A334011
KEYWORD
nonn
,
hard
,
more
AUTHOR
Ilya Gutkovskiy
, Apr 12 2020
EXTENSIONS
a(4) from
Giovanni Resta
, Apr 13 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.
License Agreements, Terms of Use, Privacy Policy.
.
Last modified May 13 09:49 EDT 2024. Contains 372504 sequences. (Running on oeis4.)