Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A051868
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A051868 16-gonal numbers. +0
20
0, 1, 16, 45, 88, 145, 216, 301, 400, 513, 640, 781, 936, 1105, 1288, 1485, 1696, 1921, 2160, 2413, 2680, 2961, 3256, 3565, 3888, 4225, 4576, 4941, 5320, 5713, 6120, 6541, 6976, 7425, 7888, 8365, 8856, 9361, 9880, 10413, 10960, 11521 (list; graph; listen)
OFFSET

0,3

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, p. 189.

FORMULA

a(n)=n(7n-6).

a(n)=14*n+a(n-1)-27 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]

EXAMPLE

For n=2, a(2)=14*2+0-27=1; n=3, a(3)=14*3+1-27=16; n=4, a(4)=14*4+16-27=45 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]

MAPLE

a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=2*a[n-1]-a[n-2]+14 od: seq(a[n], n=0..41); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 18 2008

MATHEMATICA

s=0; lst={s}; Do[s+=n++ +1; AppendTo[lst, s], {n, 0, 6!, 14}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]

CROSSREFS

Cf. A000217, A051867, A051869.

Sequence in context: A044474 A134593 A088800 this_sequence A069128 A099003 A124709

Adjacent sequences: A051865 A051866 A051867 this_sequence A051869 A051870 A051871

KEYWORD

nonn,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 15 1999

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 27 14:50 EST 2009. Contains 167570 sequences.


AT&T Labs Research