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A213061 Triangle of Stirling numbers of second kind (A048993) read mod 2. 1
1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Also parity of triangles A103631, A121314, A133607, A208345. - Philippe Deléham, Jun 04 2012

REFERENCES

Brand, Neal; Das, Sajal; Jacob, Tom. The number of nonzero entries in recursively defined tables modulo primes. Proceedings of the Twenty-first Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1990). Congr. Numer. 78 (1990), 47--59. MR1140469 (92h:05004).

LINKS

Table of n, a(n) for n=0..119.

Bill Gosper, Colored illustrations of triangle of Stirling numbers of second kind read mod 2, 3, 4, 5, 6, 7

EXAMPLE

Triangle starts:

1;

0, 1;

0, 1, 1;

0, 1, 1, 1;

0, 1, 1, 0, 1;

0, 1, 1, 1, 0, 1;

...

MATHEMATICA

Table[Mod[StirlingS2[n, k], 2], {n, 0, 13}, {k, 0, n}] // Flatten (* Michael De Vlieger, Apr 03 2016 *)

PROG

(PARI) for(n=0, 22, for(k=0, n, print1(stirling(n, k, 2) % 2, ", ")); print()); \\ Michel Marcus, Apr 03 2016

CROSSREFS

Cf. A008277, A048993, A087748.

Sequence in context: A127822 A111967 A177978 * A110247 A114607 A123110

Adjacent sequences:  A213058 A213059 A213060 * A213062 A213063 A213064

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 03 2012

STATUS

approved

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Last modified May 26 08:39 EDT 2020. Contains 334620 sequences. (Running on oeis4.)