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A220895 Number of closed lambda-terms of size n with at most 1 free de Bruijn index. 3
1, 3, 13, 76, 542, 4493, 42131, 439031, 5020105, 62382279, 835980065, 12004984120, 183754242626, 2984264710781, 51220227153987, 925859588215096, 17571969962025822, 349210371834021295, 7249185099929421649, 156847124089924073770, 3530125495029323284404 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Katarzyna Grygiel and Pierre Lescanne, Counting and generating lambda-terms, arXiv preprint arXiv:1210.2610 [cs.LO], 2012.
FORMULA
Grygiel and Lescanne give a recurrence.
MATHEMATICA
T[0, m_] := m; T[n_, m_] := T[n, m] = T[n-1, m+1] + Sum[T[i, m] T[n-i-1, m], {i, 0, n-1}];
a[n_] := T[n, 1];
Table[a[n], {n, 0, 14}] (* Jean-François Alcover, May 23 2017 *)
CROSSREFS
Sequence in context: A047730 A162435 A059040 * A352308 A336421 A189239
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 31 2012
EXTENSIONS
More terms from Alois P. Heinz, May 23 2017
STATUS
approved

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Last modified August 30 21:20 EDT 2024. Contains 375548 sequences. (Running on oeis4.)