A129882
Sequence i_{t_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where i_n = A129876, t_n = A129875.
Original entry on oeis.org
0, 2, 4, 4, 12, 18, 56, 72
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129883
Sequence i_{h_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where i_n = A129876, h_n = A129874.
Original entry on oeis.org
2, 0, 2, 2, 10, 6, 34, 88
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129884
Sequence a_{s_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where a_n = A129878, s_n = A129873.
Original entry on oeis.org
1, 1, 4, 4, 16, 17, 72, 79
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129885
Sequence a_{t_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where a_n = A129878, t_n = A129875.
Original entry on oeis.org
0, 1, 3, 3, 10, 13, 47, 59
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A278576
E.g.f. = exp(5*(exp(t)-1) + 3*(exp(t)-1)^2).
Original entry on oeis.org
1, 5, 36, 313, 3145, 35500, 441951, 5989413, 87496610, 1367284215, 22714400561, 399122562838, 7386136082045, 143434180479665, 2913717863731996, 61746352166762613, 1361745345400563725, 31186806216360128300, 740294632899931980131, 18182298488225724570513
Offset: 0
- Jocelyn Quaintance, Letter Representations of m x n x p Proper Arrays (2004), arXiv:math/0412244. See Theorem 5.1, but note that the e.g.f. given there is incorrect.
- Jocelyn Quaintance, Word Representations of m x n x p Proper Arrays, (2004), arXiv:math/0412280; Discrete Mathematics, Volume 309, Issue 6, 6 April 2009, Pages 1199-1212. See last line of text on page 1212 of the Discrete Math. version of the paper.
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With[{nn=20},CoefficientList[Series[Exp[5*(Exp[x]-1)+3(Exp[x]-1)^2],{x,0,nn}],x] Range[ 0,nn]!] (* Harvey P. Dale, Jul 23 2024 *)