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A163866 Partial sums of A007318. 4
1, 2, 3, 4, 6, 7, 8, 11, 14, 15, 16, 20, 26, 30, 31, 32, 37, 47, 57, 62, 63, 64, 70, 85, 105, 120, 126, 127, 128, 135, 156, 191, 226, 247, 254, 255, 256, 264, 292, 348, 418, 474, 502, 510, 511, 512, 521, 557, 641, 767, 893, 977, 1013, 1022, 1023, 1024, 1034, 1079, 1199 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Index entries for triangles and arrays related to Pascal's triangle

FORMULA

a(n) = Sum_{j=1..n-1} A007318(j).

EXAMPLE

a(1)=0!/(0!(0-0)!)=1.

MATHEMATICA

Flatten[Table[2^a-1+Sum[Binomial[a, p], {p, 0, b}], {a, 0, 10}, {b, 0, a}]] (* Frank M Jackson, Apr 25 2011 *)

Accumulate[Flatten[Table[Binomial[n, k], {n, 0, 11}, {k, 0, n}]]] (* Harvey P. Dale, Dec 04 2012 *)

PROG

(Haskell)

a163866 n = a163866_list !! (n-1)

a163866_list = scanl1 (+) $ concat a007318_tabl

-- Reinhard Zumkeller, Jul 18 2015

(PARI) lista(nn) = {my(i=0, j=0, p=0); for (n=1, nn, p += binomial(i, j); print1(p, ", "); j++; if (j > i, j = 0; i++); ); } \\ Michel Marcus, Jan 25 2019

CROSSREFS

Cf. A007318, A008949.

Cf. A259525.

Sequence in context: A061985 A102826 A191381 * A027206 A198034 A016027

Adjacent sequences:  A163863 A163864 A163865 * A163867 A163868 A163869

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Aug 06 2009

EXTENSIONS

Entries checked by R. J. Mathar, Aug 11 2009

STATUS

approved

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Last modified May 10 05:05 EDT 2021. Contains 343748 sequences. (Running on oeis4.)