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Search: id:A098602
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| 0, 12, 420, 14280, 485112, 16479540, 559819260, 19017375312, 646030941360, 21946034630940, 745519146510612, 25325704946729880, 860328449042305320, 29225841562491651012, 992818284675673829100
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=2*A029549(n)=2*A001109(n)*A001109(n+1); e.g. 14280=2*7140=2*35*204. a(n)=(A001653(n)^2-1)/2; e.g. 14280=(169^2-1)/2. a(n)=A053141(n)^2+A011900(n)^2-1; e.g. 14280=84^2+85^2-1. For n>0, a(n)=A053141(2n)-2*A001109(n-1)^2; e.g. 14280=16730-2*35^2. For n>0, a(n)=3*(A001542(n)^2-A001542(n-1)^2); e.g. 420=3(12^2-2^2).
For n>0, a(n)=A053141(2n-1)+2(A001653(2n-1)-A001109(n-1)^2); e.g. 485112=97512+2(195025-2*35^2) a(n+1)+a(n)=3*(A001542(n+1)^2); e.g. 420+12=3*12^2. a(n+1)-a(n)=A001542(2*n); e.g. 420-12=408. a(n+1)*a(n)=4(A001109(n)^4-A001109(n)^2)=4*A01110(n)*(A01110(n)-1); e.g.14280*420=4(35^4-35^2)=4*1225*1224.
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MATHEMATICA
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2*Table[ Floor[ N[ (Sqrt[ 2 ] + 1)^(4n + 2)/32 ] ], {n, 0, 20} ] (Chandler)
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CROSSREFS
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Sequence in context: A081021 A138914 A003772 this_sequence A000897 A036687 A123778
Adjacent sequences: A098599 A098600 A098601 this_sequence A098603 A098604 A098605
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KEYWORD
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nonn
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AUTHOR
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Charlie Marion (charliemath(AT)optonline.net), Oct 26 2004
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EXTENSIONS
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More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 10 2004
Corrected by Bill Lam (bill_lam(AT)myrealbox.com), Feb 27 2006
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