A166355 - OEIS

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A166355

Diagonal sums of exponential Riordan array [1+x*tan(x/2),x], A166353.

1, 2, 5, 15, 64, 443, 4887, 78996, 1745995, 50333929, 1829758158, 81753825477, 4399497764477, 280491321580150, 20898005984605281, 1798558057748753171, 177034863818072607020, 19758697171102806823327 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Aerated sequence gives diagonal sums of A166353.`
	FORMULA	`a(n)=sum{k=0..n, C(n+k,2k)G(k)} where G(n)=0^n+2(-1)^n(1-4^n)sum{k=0..2n, sum{j=0..k, (-1)^jC(k,j)*j^(2n)/(k+1)}}.`
	CROSSREFS	`Cf. A110501.` `Sequence in context: A078793 A201702 A202037 * A031154 A090091 A158079` `Adjacent sequences: A166352 A166353 A166354 * A166356 A166357 A166358`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 12 2009`

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Last modified February 13 22:36 EST 2012. Contains 205567 sequences.