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 A050227 Triangle of number of n-tosses having a run of r or more heads for a fair coin with r=1 to n across and n=1, 2, ... down. 3
 1, 3, 1, 7, 3, 1, 15, 8, 3, 1, 31, 19, 8, 3, 1, 63, 43, 20, 8, 3, 1, 127, 94, 47, 20, 8, 3, 1, 255, 201, 107, 48, 20, 8, 3, 1, 511, 423, 238, 111, 48, 20, 8, 3, 1, 1023, 880, 520, 251, 112, 48, 20, 8, 3, 1, 2047, 1815, 1121, 558, 255, 112, 48, 20, 8, 3, 1, 4095, 3719 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES W. Feller, An Introduction to Probability Theory and Its Applications, Vol. 1, 2nd ed. New York: Wiley, p. 300, 1968. LINKS T. D. Noe, Rows n=1..100 of triangle, flattened Eric Weisstein's World of Mathematics, Coin Tossing. Eric Weisstein's World of Mathematics, Run. EXAMPLE Triangle begins:    1;    3,  1;    7,  3, 1;   15,  8, 3, 1;   31, 19, 8, 3, 1   ... MATHEMATICA Clear[fib]; fib[n_, n_] = 1; fib[n_, k_] /; k > n = 0; fib[n_, k_] := fib[n, k] = If[k == 1, 1, Sum[fib[m, k], {m, n - k , n - 1}]]; Table[ 2^n - fib[n + k + 1 , k], {n, 1, 12}, {k, 1, n}] // Flatten (* Jean-François Alcover, Jan 15 2013 *) CROSSREFS Cf. A008466. Cf. A050231, A050232, A050233. Sequence in context: A249248 A104797 A130330 * A135540 A161942 A247675 Adjacent sequences:  A050224 A050225 A050226 * A050228 A050229 A050230 KEYWORD nonn,nice,tabl AUTHOR STATUS approved

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Last modified May 12 23:35 EDT 2021. Contains 343829 sequences. (Running on oeis4.)