A093628 Triangle, read by rows, such that diagonal n is equal to the Euler transform of row n, where each row starts with 1.

1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 4, 4, 3, 1, 1, 5, 6, 7, 3, 1, 1, 6, 9, 13, 9, 4, 1, 1, 7, 12, 22, 19, 14, 4, 1, 1, 8, 16, 34, 39, 35, 17, 5, 1, 1, 9, 20, 50, 67, 81, 49, 24, 5, 1, 1, 10, 25, 70, 113, 159, 137, 80, 29, 6, 1, 1, 11, 30, 95, 173, 296, 306, 252, 110, 38, 6, 1, 1, 12, 36, 125

Offset

0,5

Comments

Row sums are A093629. Central terms in even rows form A093630.

Links

Table of n, a(n) for n=0..81.

Example

The Euler transform of row 4: [1,4,4,3,1], equals diagonal 4: [1,5,9,22,39,81, 137,...]; the main diagonal has an index of zero.
Rows begin:
[1],
[1,1],
[1,2,1],
[1,3,2,1],
[1,4,4,3,1],
[1,5,6,7,3,1],
[1,6,9,13,9,4,1],
[1,7,12,22,19,14,4,1],
[1,8,16,34,39,35,17,5,1],
[1,9,20,50,67,81,49,24,5,1],
[1,10,25,70,113,159,137,80,29,6,1],
[1,11,30,95,173,296,306,252,110,38,6,1],
[1,12,36,125,262,503,657,637,413,165,45,7,1],...

Crossrefs

Cf. A093629, A093630.

Sequence in context: A172119 A228125 A227588 * A186807 A114282 A112739

Adjacent sequences: A093625 A093626 A093627 * A093629 A093630 A093631

Keyword

nonn,tabl

Author

Paul D. Hanna, Apr 06 2004

Status

approved