A129872
Sequence M_n arising in enumeration of arrays of directed blocks (see 2007 Quaintance reference for precise definition). [The next term is not an integer.].
Original entry on oeis.org
1, 4, 16, 72, 364, 1916, 10581, 59681, 343903, 2010089
Offset: 1
-
listrn(m) = {R = t*O(t); for (n= 1, m, R = (2*t^11 + t^10 + 3*t^9 + 8*t^8 + 12*t^7 + 16*t^6 + 26*t^5 + 20*t^4 + 16*t^3 + 7*t^2 + t - (t^14 - t^12 - 8*t^10 - 11*t^8 - 5*t^6 + t^4)*R^3 - (3*t^13 + t^12 - 5*t^11 - 2*t^10 - 34*t^9 - 14*t^8 - 39*t^7 - 16*t^6 - 11*t^5 - 2*t^4 + 6*t^3 + 2*t^2)*R^2)/(t^12 + t^11 - 7*t^10 - 7*t^9 - 42*t^8 - 35*t^7 - 51*t^6 - 41*t^5 - 14*t^4 - 4*t^3 + 8*t^2 + 6*t + 1);); return(vector(m, i , polcoeff(R, i, t)));}
listbn(m) = {B = t*O(t); for (n= 1, m, B = (1 + 2*t*B^2 - t^2*B^3 );); return(vector(m, i , polcoeff(B, i, t)));}
listMn(m) = {b = listbn(m); /* see also A006013 */ s = listsn(m); /* see A129873 */ d = listdn(m); /* see A129880 */ r = listrn(m); for (i=1, m, v = (b[i] + s[i] - d[i] - r[i])/2; print1(v, ", "););}
\\ Michel Marcus, Mar 30 2013
A129878
Sequence a_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).
Original entry on oeis.org
1, 3, 10, 42, 178, 787, 3552, 16319
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129876
Sequence i_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).
Original entry on oeis.org
2, 4, 14, 52, 210, 888, 3886, 17448
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129873
Sequence s_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).
Original entry on oeis.org
2, 3, 8, 13, 38, 64, 196, 337, 1062, 1851, 5948, 10468, 34120, 60488, 199316, 355369, 1181126, 2115577, 7080928, 12731141, 42860534, 77306428, 261542752, 473018396, 1607076200, 2913321828, 9934255472, 18045744424, 61732449648, 112340143632
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
-
listsn(m) = {my(S = t*O(t)); for (n= 1, m+1, S = (- 8*t - 3 - (8*t^4 - t^2)*S^3 - (24*t^3 - 2*t^2 - 4*t)*S^2)/(24*t^2 + 2*t - 3);); return(vector(m, i , polcoeff(S, i, t)));} \\ Michel Marcus, Mar 29 2013
A129874
Sequence h_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).
Original entry on oeis.org
2, 1, 4, 4, 16, 19, 76, 98
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129875
Sequence t_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).
Original entry on oeis.org
0, 2, 4, 9, 22, 45, 120, 239
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129880
Sequence d_n arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition).
Original entry on oeis.org
1, 1, 4, 10, 32, 101, 334, 1129, 3890, 13618, 48275, 172995, 625574, 2279997, 8366553, 30885640, 114620926, 427383918, 1600323161, 6015226752, 22687991095, 85843131701, 325734335544, 1239274254094, 4726359853214, 18065978123065
Offset: 1
-
listdn(m) = { my(D = t*O(t)); for (n= 1, m, D = (t - (t^3 + t^2)*D^3 - (t^3 - t^2 - 2*t)*D^2)/(1 - t - t^2);); return(vector(m, i , polcoeff(D, i, t)));} \\ Michel Marcus, Mar 29 2013
A129881
Sequence i_{s_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where i_n = A129876, s_n = A129873.
Original entry on oeis.org
2, 2, 6, 6, 22, 24, 90, 100
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129877
Sequence i_{a_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where i_n is A129876, a_n is A129878.
Original entry on oeis.org
2, 0, 6, 12, 58, 220, 958, 4184
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
A129879
Sequence a_{a_n} arising in enumeration of arrays of directed blocks (see Quaintance reference for precise definition), where a_n is A129878.
Original entry on oeis.org
1, 0, 3, 9, 42, 182, 821, 3754
Offset: 1
- Jocelyn Quaintance, Combinatoric Enumeration of Two-Dimensional Proper Arrays, Discrete Math., 307 (2007), 1844-1864.
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