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Search: id:A099927
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| A099927 |
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Pellonomial triangle P(k,n) read by rows. |
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+0
5
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| 1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 12, 30, 12, 1, 1, 29, 174, 174, 29, 1, 1, 70, 1015, 2436, 1015, 70, 1, 1, 169, 5915, 34307, 34307, 5915, 169, 1, 1, 408, 34476, 482664, 1166438, 482664, 34476, 408, 1, 1, 985, 200940, 6791772, 39618670, 39618670
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Also (signed) coefficients of solutions to 0 = Sum[i=0..k+1, x(i)*Pell(m+i)^k ].
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FORMULA
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P(k, n) = Prod[i=k-n+1..k, Pell(i)] / Prod[i=1..n, Pell(i)], with Pell(n) = A000129(n).
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CROSSREFS
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Columns include A000129, A084158, A099930, A099931.
Row sums are in A099928. Central column is in A099929.
Cf. A010048.
Sequence in context: A128564 A008518 A139332 this_sequence A128612 A060854 A091378
Adjacent sequences: A099924 A099925 A099926 this_sequence A099928 A099929 A099930
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KEYWORD
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nonn,tabl
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AUTHOR
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Ralf Stephan, Nov 03 2004
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