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Search: id:A046190
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| A046190 |
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Indices of octagonal numbers which are also hexagonal numbers. |
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+0 4
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| 1, 63, 6141, 601723, 58962681, 5777740983, 566159653621, 55477868313843, 5436264935102961, 532698485771776303, 52199015340698974701, 5114970804902727744363, 501214939865126619972841
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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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.
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MAPLE
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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
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CROSSREFS
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Cf. A046191, A046192.
Adjacent sequences: A046187 A046188 A046189 this_sequence A046191 A046192 A046193
Sequence in context: A069381 A051589 A069407 this_sequence A093263 A069433 A104179
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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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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