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 A244307 Sum over each antidiagonal of A244306. 6
 0, 2, 7, 20, 45, 92, 170, 296, 486, 766, 1161, 1708, 2443, 3416, 4676, 6288, 8316, 10842, 13947, 17732, 22297, 27764, 34254, 41912, 50882, 61334, 73437, 87388, 103383, 121648, 142408, 165920, 192440, 222258, 255663, 292980, 334533, 380684, 431794, 488264 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Christopher Hunt Gribble, Table of n, a(n) for n = 1..10000 FORMULA Empirically, a(n) = (6*n^5 + 30*n^4 + 180*n^3 + 240*n^2 - 141*n - 135 + (45*n + 135)*(-1)^n)/1440. Empirical g.f.: x^2*(x^3-x+2) / ((x-1)^6*(x+1)^2). - Colin Barker, Jun 01 2015 EXAMPLE a(1..9) are formed as follows: . Antidiagonals of A244306 n a(n) . 0 1 0 . 1 1 2 2 . 2 3 2 3 7 . 4 6 6 4 4 20 . 6 10 13 10 6 5 45 . 9 15 22 22 15 9 6 92 . 12 21 34 36 34 21 12 7 170 . 16 28 48 56 56 48 28 16 8 296 . 20 36 65 78 88 78 65 36 20 9 486 MAPLE b := proc (n::integer, k::integer)::integer; (4*k^2*n^2 + 2*k^2 + 8*k*n + 2*n^2 - 4*k - 4*n - 1 - (2*k^2 - 4*k - 1)*(-1)^n - (2*n^2 - 4*n - 1)*(-1)^k - (-1)^k*(-1)^n)*(1/32); end proc; for j to 40 do a := 0; for k from j by -1 to 1 do n := j - k + 1; a := a + b(n, k); end do; printf("%d, ", a); end do; CROSSREFS Cf. A244306. Sequence in context: A136907 A259144 A090145 * A270109 A123203 A309298 Adjacent sequences: A244304 A244305 A244306 * A244308 A244309 A244310 KEYWORD nonn AUTHOR Christopher Hunt Gribble, Jun 25 2014 EXTENSIONS Terms corrected and extended by Christopher Hunt Gribble, Mar 31 2015 STATUS approved

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Last modified December 9 23:05 EST 2022. Contains 358710 sequences. (Running on oeis4.)