id:A130471 - OEIS Search Results

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First differences of antidiagonal sums of triangular array T: T(j,k) = k*(j-k)! for k < j, T(j,k) = 1 for k = j; 1 <= k <= j.

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0, 2, 5, 21, 106, 640, 4527, 36539, 331508, 3338358, 36946489, 445724977, 5821580670, 81839381996, 1232102291651, 19778348559015, 337223021210632, 6086161135368034, 115915940643233613, 2323409451689985053 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A130470(n+1) - A130470(n).`
	EXAMPLE	`a(7) = A130470(8) - A130470(7) = 5302 - 775 = 4527.`
	PROGRAM	`(MAGMA) m:=21; T:=[ [ k*Factorial(j-k): k in [1..j-1] ] cat [ 1 ]: j in [1..m] ]; S:=[ &+[ T[j-k+1][k]: k in [1..(j+1) div 2] ]: j in [1..m] ]; [ S[j+1]-S[j]: j in [1..m-1] ];`
	CROSSREFS	`Cf. A130469 (T read by rows), A129867 (row sums), A130470 (antidiagonal sums).` `Sequence in context: A115087 A008981 A008982 this_sequence A002628 A020129 A129582` `Adjacent sequences: A130468 A130469 A130470 this_sequence A130472 A130473 A130474`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), May 28 2007`

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.

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