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A141064
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List of different primes in Pascal-like triangle with index of asymmetry (y=1) and index of obliquely (z=0 or z=1).
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2, 5, 7, 11, 23, 29, 89, 137, 311, 367, 1021, 3217, 5441, 2377, 12619, 65761, 5741, 144593, 13859, 78511, 1462397, 33461, 469957, 2552939, 11096497, 5930669, 6343133, 26512597, 470831, 127626137, 372222703, 15955507, 538270693
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Pascal-like triangle with index of asymmetry (y=1) and index of
obliqueness (z=0) read by rows with recurrence G(n, k): G(n, 0)=G(n+1,
n+1)=1, G(n+2,
n+1)=2, G(n+3, k)=G(n+1, k-1)+G(n+1, k)+G(n+2, k) for k:=1..(n+1).
Pascal-like triangle with index of asymmetry(y=1) and index of obliqueness
(z=1) read by rows with recurrence G(n, k): G(n, n)=G(n+1, 0)=1, G(n+2,
1)=2, G(n+3, k)=G(n+1,
k-1)+G(n+1, k-2)+G(n+2, k-1) for k=2..(n+2).
In each row of A140998, the primes not appearing in earlier rows are collected, sorted, and added to the sequence. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 28 2010]
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LINKS
| Juri-Stepan Gerasimov, Stepan's triangles and Pascal's triangle are connected by the recurrence relation ...
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EXAMPLE
| Pascal-like triangle (y=1, z=0) begins:
If 1
1 1
1 2 1, then a(1)=2.
If 1 4 2 1
1 7 5 2 1, then a(2)=7.
1 12 11 5 2 1, then a(3)=11.
If 1 20 23 12 5 2 1, then a(4)=23.
If 1 33 46 28 12 5 2 1
1 54 89 63 29 12 5 2 1, then a(5)=29, a(6)=89.
If 1 88 168 137 69 29 12 5 2 1, then a(7)=137.
If 1 143 311 289 161 70 29 12 5 2 1, then a(8)=311.
If 1 232 567 594 367 168 70 29 12 5 2 1, then a(9)=367.
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CROSSREFS
| Cf. A140998.
Sequence in context: A040122 A038955 A172981 * A131102 A168031 A039679
Adjacent sequences: A141061 A141062 A141063 * A141065 A141066 A141067
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KEYWORD
| nonn,uned
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AUTHOR
| Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 14 2008
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EXTENSIONS
| Partially edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 18 2008
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 28 2010
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