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Search: id:A046190
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A046190 Indices of octagonal numbers which are also hexagonal numbers. +0
4
1, 63, 6141, 601723, 58962681, 5777740983, 566159653621, 55477868313843, 5436264935102961, 532698485771776303, 52199015340698974701, 5114970804902727744363, 501214939865126619972841 (list; graph; listen)
OFFSET

1,2

LINKS

Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008, Table of n, a(n) for n = 1..20

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

MAPLE

a:=5+2*sqrt(6): b:=5-2*sqrt(6): s:=n->a^n+b^n: d:=n->sqrt(6)*(a^n-b^n):for n from 0 to 40 do x:=simplify(s(n)-1/4*d(n)): y:=simplify(1/3*d(n)-s(n)/2): if(type((1+x/2)/3, integer) and type((1+y)/4, integer)) then printf("%d, ", (1+x/2)/3) fi: x:=simplify(s(n+1)+1/4*d(n+1)): y:=simplify(1/3*d(n+1)+s(n+1)/2): if(type((1+x/2)/3, integer) and type((1+y)/4, integer)) then printf("%d, ", (1+x/2)/3) fi: od: - Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008

CROSSREFS

Cf. A046191, A046192.

Sequence in context: A069381 A051589 A069407 this_sequence A093263 A069433 A062208

Adjacent sequences: A046187 A046188 A046189 this_sequence A046191 A046192 A046193

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), May 07 2001

One more term from Lior Manor (lior.manor(AT)gmail.com) Feb 13 2002

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 19 2008

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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