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A129994 Triangle read by rows: 2*A007318 - I. 1
1, 2, 1, 2, 4, 1, 2, 6, 6, 1, 2, 8, 12, 8, 1, 2, 10, 20, 20, 10, 1, 2, 12, 30, 40, 30, 12, 1, 2, 14, 42, 70, 70, 42, 14, 1, 2, 16, 56, 112, 140, 112, 56, 16, 1, 2, 18, 72, 168, 252, 252, 168, 72, 18, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums = (1, 3, 7, 15, 31, ...).

LINKS

Table of n, a(n) for n=0..54.

FORMULA

Let Pascal's triangle A007318 = P, then this is 2*P - I, I = Identity matrix.

EXAMPLE

First few rows of the triangle are:

  1;

  2,  1;

  2,  4,  1;

  2,  6,  6,  1;

  2,  8, 12,  8,  1;

  2, 10, 20, 20, 10,  1;

  2, 12, 30, 40, 30, 12,  1;

  ...

MATHEMATICA

Table[2 Binomial[n, k] - Boole[k == n], {n, 0, 9}, {k, 0, n}] // Flatten (* Michael De Vlieger, Nov 02 2017 *)

CROSSREFS

Cf. A007318.

Sequence in context: A210215 A203647 A114791 * A208755 A226441 A080246

Adjacent sequences:  A129991 A129992 A129993 * A129995 A129996 A129997

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jun 15 2007

EXTENSIONS

Name corrected by Peter Bala, Nov 02 2017

STATUS

approved

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Last modified August 17 23:13 EDT 2022. Contains 356204 sequences. (Running on oeis4.)