

A220471


Number of closed simply typable lambdaterms of size n with size 0 for the variables.


0




OFFSET

1,2


COMMENTS

Typable terms are terms that satisfy constraints which make them well formed.
The current computation requires one to generate all the plain lambda terms and to sieve out those that are typable. This is feasible for the 63782411 terms of size 10 but not for the 851368766 terms of size 11.


REFERENCES

Alonzo Church, A Formulation of the Simple Theory of Types, J. Symb. Log. 5(2): 5668 (1940).


LINKS

Table of n, a(n) for n=1..10.
Katarzyna Grygiel and Pierre Lescanne, Counting and generating lambdaterms, arXiv preprint arXiv:1210.2610, 2012
Paul Tarau, On a Uniform Representation for Combinators, Arithmetic, Lambda Terms and Types, preprint, 2015.
Paul Tarau, On Typedirected Generation of Lambda Terms, preprint, 2015.


CROSSREFS

Cf. A220894.
Sequence in context: A038156 A052846 A056844 * A213095 A238372 A002825
Adjacent sequences: A220468 A220469 A220470 * A220472 A220473 A220474


KEYWORD

nonn,more


AUTHOR

Pierre Lescanne, Apr 10 2013


STATUS

approved



