Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A060300
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A060300 (2n(n+1))^2. +0
2
0, 16, 144, 576, 1600, 3600, 7056, 12544, 20736, 32400, 48400, 69696, 97344, 132496, 176400, 230400, 295936, 374544, 467856, 577600, 705600, 853776, 1024144, 1218816, 1440000, 1690000, 1971216, 2286144, 2637376, 3027600 (list; graph; listen)
OFFSET

0,2

COMMENT

Arises from middle column of following triangle: 4^2, 12^2, 24^2...:

.....................3^2.+.4^2=5^2................

................10^2+11^2+12^2=13^2+14^2..........

...........21^2+22^2+23^2+24^2=25^2+26^2+27^2.....

......36^2+37^2+38^2+39^2+40^2=41^2+42^2+43^2+44^2

........*....*....*....*.... etc..*....*....*......

REFERENCES

C. Stanley Ogilvy and John T. Anderson, Excursions in Number Theory, Oxford University Press, NY, 1966, pp. 90-92.

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

PROGRAM

(PARI) { for (n=0, 1000, write("b060300.txt", n, " ", (2*n*(n + 1))^2); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 03 2009]

CROSSREFS

Cf. A046092.

Sequence in context: A032444 A017114 A092820 this_sequence A128985 A004409 A054851

Adjacent sequences: A060297 A060298 A060299 this_sequence A060301 A060302 A060303

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Mar 25 2001

EXTENSIONS

Corrected the definition from 2n(n+1)^2 to (2n(n+1))^2. - Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 03 2009

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


AT&T Labs Research