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A083363 Diagonal of table A083362. 3
1, 7, 11, 30, 38, 69, 81, 124, 140, 195, 215, 282, 306, 385, 413, 504, 536, 639, 675, 790, 830, 957, 1001, 1140, 1188, 1339, 1391, 1554, 1610, 1785, 1845, 2032, 2096, 2295, 2363, 2574, 2646, 2869, 2945, 3180, 3260, 3507, 3591, 3850, 3938, 4209, 4301, 4584 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A083362 is the square table of least distinct positive integers such that the sum of any two consecutive terms in any row form a square.

LINKS

Table of n, a(n) for n=0..47.

Index entries for linear recurrences with constant coefficients, signature (1,2,-2,-1,1).

FORMULA

a(0) = 1; a(2n-1) = 8n^2 - n (n>0); a(2n) = 8n^2 + 3n (n>0).

a(n) = a(n-1)+2*a(n-2)-2*a(n-3)-a(n-4)+a(n-5). - Colin Barker, Sep 26 2014

G.f.: (x^5-x^4-7*x^3-2*x^2-6*x-1) / ((x-1)^3*(x+1)^2). - Colin Barker, Sep 26 2014

a(n) = (4n+3)*(2n+1-(-1)^n)/4+0^n. - Wesley Ivan Hurt, Sep 26 2014

MAPLE

A083363:=n->(4*n+3)*(2*n+1-(-1)^n)/4+0^n: seq(A083363(n), n=0..50); # Wesley Ivan Hurt, Sep 26 2014

MATHEMATICA

Join[{1}, Table[(4 n + 3) (2 n + 1 - (-1)^n)/4, {n, 30}]] (* Wesley Ivan Hurt, Sep 26 2014 *)

PROG

(PARI) Vec((x^5-x^4-7*x^3-2*x^2-6*x-1)/((x-1)^3*(x+1)^2) + O(x^100)) \\ Colin Barker, Sep 26 2014

(MAGMA) [(4*n+3)*(2*n+1-(-1)^n)/4+0^n : n in [0..50]]; // Wesley Ivan Hurt, Sep 26 2014

CROSSREFS

Cf. A083362.

Sequence in context: A153325 A109907 A121534 * A027707 A046861 A078917

Adjacent sequences:  A083360 A083361 A083362 * A083364 A083365 A083366

KEYWORD

nonn,easy

AUTHOR

Paul D. Hanna, Apr 27 2003

STATUS

approved

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Last modified October 22 01:48 EDT 2021. Contains 348160 sequences. (Running on oeis4.)