0,7

See A008280 and A008281 for references, formulae, etc.

Viennot G., Interpretations combinatoires des nombres d'Euler et de Genocchi.Seminaire de theorie des nombres, 1980/1981, Exp.No. 11, p. 41, Univ. Bordeaux I, Talence, 1982.

a(n,k) = A008280(n,n-k). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2007

This version of the triangle begins:

.............1

...........1...0

.........0...1...1

.......2...2...1...0

.....0...2...4...5...5

..16..16..14..10...5...0

Kempner tableau begins:

....................1

....................1....0

...............0....1....1

...............2....2....1....0

..........0....2....4....5....5

.........16...16...14...10....5...0

.....0...16...32...46...56...61..61

...272..272..256..224..178..122..61..0

Column 1,1,1,2,4,14,46,224, ... is A005437 .

Column 1,1,5,10,56,178, ... is A005438 .

A008281 := proc(h, k) option remember ; if h=1 and k=1 or h=0 then RETURN(1) ; elif h>=1 and k> h then RETURN(0) ; elif h=k then RETURN( A008281(h, h-1)) ; else RETURN( add(A008281(h-1, j), j=h-k..h-1) ) ; fi ; end: A008280 := proc(h, k) if ( h <= 1 ) or ( h mod 2) = 1 then A008281(h, k) ; else A008281(h, h-k) ; fi ; end: A108040 := proc(h, k) A008280(h, h-k) ; end: for h from 0 to 13 do for k from 0 to h do printf("%d, ", A108040(h, k)) ; od ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2007

See A008280 and A008281 for other versions.

Sequence in context: A051168 A133418 A029390 this_sequence A137566 A122865 A074080

Adjacent sequences: A108037 A108038 A108039 this_sequence A108041 A108042 A108043

nonn,tabl,easy

njas

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 02 2007