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A285877 Number of possible chess games at the end of the n-th ply starting without pawns. 7
1, 50, 2125, 96062, 4200525, 191462298, 8509434855, 390020597683 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Gives the number of possible chess games where both sides start without pawns.

Does not include games which end in fewer than n plies.

The initial terms exceed the corresponding terms in A048987, but this should eventually reverse and we should have A285877(n) <= A048987(n) for large enough n.

Initial terms computed using the Chesspresso engine.

LINKS

Table of n, a(n) for n=0..7.

Chesspresso<sup>TM</sup>.

CROSSREFS

Cf. A048987 (standard), A285873 (no queens), A285874 (no rooks), A285875 (no knights), A285876 (no bishops), A285878 (pawns and king).

Sequence in context: A238283 A240191 A231696 * A156087 A162919 A163290

Adjacent sequences:  A285874 A285875 A285876 * A285878 A285879 A285880

KEYWORD

nonn,hard,more,fini

AUTHOR

Sean A. Irvine, Apr 28 2017

STATUS

approved

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Last modified February 25 06:31 EST 2018. Contains 299643 sequences. (Running on oeis4.)