id:A121908 - OEIS Search Results

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S-D transform of Catalan numbers A000108.

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1, 2, 3, 9, 19, 72, 181 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = Sum_{k, 0<=k<=n}A051159(n,k)*A000108(k).`
	EXAMPLE	`1 1 2 5 14 42 132 ... (A000108)` `2 1 7 9 56 90 ...` `3 6 16 47 146 ...` `9 10 63 99 ...` `19 53 162 ...` `72 109 ...` `181 ...` `Row 1 :A000108` `Row 2 : 1+1=2, 2-1=1, 5+1=7, 14-5=9, 42+14=56, 132-42=90, ...` `Row 3 : 1+2=3, 7-1=6, 9+7=16, 56-9=47, 90+56=146, ...` `Row 4 : 6+3=9, 16-6=10, 47+16=63, 146-47=99, ...` `Row 5 : 10+9=19, 63-10=53, 99+63=162, ...` `Row 6 : 53+19=72, 162-53=109, ...` `Row 7 ; 109+72=181, ...` `First diagonal of this triangular array form this sequence.`
	CROSSREFS	`Sequence in context: A079992 A106519 A006866 this_sequence A097075 A036673 A111189` `Adjacent sequences: A121905 A121906 A121907 this_sequence A121909 A121910 A121911`
	KEYWORD	`nonn`
	AUTHOR	`Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 01 2006`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.