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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A046949 Sizes of successive balls in D_4 lattice. 3
1, 25, 49, 145, 169, 313, 409, 601, 625, 937, 1081, 1369, 1465, 1801, 1993, 2569, 2593, 3025, 3337, 3817, 3961, 4729, 5017, 5593, 5689, 6433, 6769, 7729, 7921, 8641, 9217, 9985, 10009, 11161, 11593, 12745, 13057, 13969, 14449, 15793 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The subsequence of primes in this partial sum begins: 313, 409, 601, 937, 1801, 1993, 2593, 4729, 5689, 8641, 10009, 11161, 11593, 14449. [Jonathan Vos Post, Feb 18 2010]

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for sequences related to D_4 lattice

MATHEMATICA

A004011 = Join[{1}, Table[24*Sum[d*Mod[d, 2], {d, Divisors[n]}], {n, 1, 40}]]; Accumulate[A004011](* Jean-Fran├žois Alcover, Apr 25 2012 *)

PROG

(PARI) B=1; bl=[ 1 ]; for (n=1, 200, t1=divisors(2*n); t2=0; for (i=1, length(t1), if( t1[ i ]%4 <> 0, t2=t2+t1[ i ])); B=B+8*t2; bl=concat(bl, B)); bl

CROSSREFS

Partial sums of A004011.

Sequence in context: A131706 A110015 A110586 * A137659 A020325 A108604

Adjacent sequences:  A046946 A046947 A046948 * A046950 A046951 A046952

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 10 14:07 EDT 2021. Contains 342845 sequences. (Running on oeis4.)