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Antidiagonal sums of A323182.
2

%I #17 Jan 21 2019 05:55:31

%S 1,1,2,8,27,105,492,2584,14893,93625,637342,4663856,36455959,

%T 302825585,2661650680,24662914640,240141823417,2450053360913,

%U 26125165902810,290487741343352,3361177509359859,40396577112990745,503447944487902244,6496090993661295784,86660903426459105701

%N Antidiagonal sums of A323182.

%H Seiichi Manyama, <a href="/A323613/b323613.txt">Table of n, a(n) for n = 0..532</a>

%H <a href="/index/Ch#Cheby">Index entries for sequences related to Chebyshev polynomials.</a>

%e a(1) = 0 + 1 = 1.

%e a(2) = -1 + 2 + 1 = 2.

%e a(3) = 0 + 3 + 4 + 1 = 8.

%t Table[Sum[ChebyshevU[k, n - k], {k, 0, n}], {n, 0, 30}] (* _Vaclav Kotesovec_, Jan 20 2019 *)

%o (PARI) {a(n) = sum(k=0, n, polchebyshev(k, 2, n-k))}

%Y Cf. A101125, A323182.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Jan 20 2019