This site is supported by donations to The OEIS Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A273182 a(n) is the second number in a triple consisting of 3 numbers, which when squared are part of a right diagonal of a magic square of squares. 4
 14, 84, 490, 2856, 16646, 97020, 565474, 3295824, 19209470, 111960996, 652556506, 3803378040, 22167711734, 129202892364, 753049642450, 4389094962336, 25581520131566, 149100025827060, 869018634830794, 5065011783157704, 29521052064115430, 172061300601534876 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS The multiplying factor 6 appears to come from the ratio of a(1)/a(0) of the sequence. Each of the lines of tables (V vs VII) or (VI vs VIII) in oddwheel.com/ImaginaryB.html generates this factor. LINKS Colin Barker, Table of n, a(n) for n = 0..1000 E. Gutierrez, Table of Tuples for Square of Squares (Part IC) Index entries for linear recurrences with constant coefficients, signature (6,-1). FORMULA a(0)=14, a(1)= 84, a(n+1)= a(n)*6 - a(n-1). G.f.: 14 / (1-6*x+x^2). - Colin Barker, May 18 2016 E.g.f.: 7*(3*sqrt(2)*sinh(2*sqrt(2)*x) + 4*cosh(2*sqrt(2)*x))*exp(3*x)/2. - Ilya Gutkovskiy, May 18 2016 EXAMPLE a(2) = 84*6 -14 = 490; a(3) = 490*6 - 84 = 2856; a(4) = 2856*6 - 490 = 16646. MATHEMATICA CoefficientList[Series[14/(1 - 6 x + x^2), {x, 0, 21}], x] (* Michael De Vlieger, May 18 2016 *) PROG (PARI) Vec(14/(1-6*x+x^2) + O(x^50)) \\ Colin Barker, May 18 2016 CROSSREFS Cf. A178218, A273187, A273189. Sequence in context: A006858 A027818 A054149 * A025607 A272103 A244865 Adjacent sequences:  A273179 A273180 A273181 * A273183 A273184 A273185 KEYWORD nonn,easy AUTHOR Eddie Gutierrez, May 17 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 18 07:18 EST 2019. Contains 319269 sequences. (Running on oeis4.)