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<DIV>Seqfans,<BR> Where is the rectangular table
referred to by these sequences?</DIV>
<DIV> </DIV>
<DIV>A040027 Main diagonal of an array of binomial recurrence
coefficients. <BR> 0, 1, 1, 3, 9, 31, 121, 523, 2469, 12611, 69161,
404663, <BR>A045501 Second diagonal in table of binomial recurrence
coefficients. <BR> 1, 1, 4, 14, 54, 233, 1101, 5625, 30846,
<BR>A045499 Third diagonal in table of binomial recurrence coefficients.
<BR> 1, 1, 5, 20, 85, 400, 2046, 11226, 65676, 407787, 2675410,
<BR>A045500 Fourth diagonal in table of binomial recurrence coefficients.
<BR> 1, 1, 6, 27, 125, 635, 3488, 20425, 126817, 831915, 5744784, 41618459
</DIV>
<DIV>(AUTHOR of these sequences: H. W. Gould) </DIV>
<DIV> </DIV>
<DIV>The closest thing I can find is Emeric Deutsch's recent triangle A124496,
</DIV>
<DIV>in which these sequences appear as columns. </DIV>
<DIV> </DIV>
<DIV>The lower half of the table (I guess) must look like this:</DIV>
<DIV>1, ...<BR>1, 1, ...</DIV>
<DIV>1, 1, 3, ...<BR>1, 1, 4, 9, ...<BR>1, 1, 5, 14, 31, ...<BR>1, 1, 6, 20, 54,
121, ...</DIV>
<DIV>1, 1, 7, 27, 85, 233, 523, ...<BR>1, 1, 8, 35, 125, 400, 1101, 2469,
...<BR>1, 1, 9, 44, 175, 635, 2046, 5625, 12611, ...</DIV>
<DIV> </DIV>
<DIV>Is the complete table in the OEIS? </DIV>
<DIV>If not, it certainly should be. </DIV>
<DIV> Paul</DIV></BODY></HTML>