A205945 Triangle read by rows related to A001700.

1, 1, 2, 1, 7, 2, 1, 20, 12, 2, 1, 54, 53, 16, 2, 1, 143, 208, 88, 20, 2, 1, 376, 768, 415, 130, 24, 2, 1, 986, 2734, 1804, 700, 180, 28, 2

Offset

1,3

Comments

Row sums = A001700: (1, 3, 10, 35, 126, 462, ...).

Links

Table of n, a(n) for n=1..36.

Formula

Bisection of triangle A191314 extracting odd numbered rows. Accessing odd numbered columns of A205573, take finite differences of terms from the top -> down.

Example

First few rows of the triangle =
1;
1, 2;
1, 7, 2;
1, 20, 12, 2;
1, 54, 53, 16, 2;
1, 143, 208, 88, 20, 2;
1, 376, 768, 415, 130, 24, 2;
1, 986, 2734, 1804, 700, 180, 28, 2;
...
Row 3 = (1, 7, 2) = row 5 of triangle A191314; and finite differences of column 5 of triangle A205573: (1, 8, 10, ...).

Crossrefs

Cf. A001700, A191314, A205573.

Sequence in context: A347800 A341738 A128747 * A124392 A144446 A121416

Adjacent sequences: A205942 A205943 A205944 * A205946 A205947 A205948

Keyword

nonn,tabl

Author

Gary W. Adamson, Feb 01 2012

Status

approved