A014459 -id:A014459 - cp's OEIS frontend

A014450 Even numbers in the triangle of Eulerian numbers.

4, 26, 66, 26, 302, 302, 120, 2416, 120, 502, 14608, 88234, 156190, 88234, 14608, 502, 47840, 455192, 1310354, 1310354, 455192, 47840, 2036, 2203488, 9738114, 15724248, 9738114, 2203488, 2036, 66318474, 162512286, 162512286, 66318474

Offset: 1

Mohammad K. Azarian

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 254.

Rémy Sigrist, Table of n, a(n) for n = 1..10111

Cf. A008292, A014459.

More terms from James Sellers

Offset corrected by Mohammad K. Azarian, Nov 19 2008

A348649 Odd numbers in the triangle of Stirling numbers of the second kind (A008277).

Original entry on oeis.org

1, 1, 1, 1, 3, 1, 1, 7, 1, 1, 15, 25, 1, 1, 31, 65, 15, 1, 1, 63, 301, 21, 1, 1, 127, 1701, 1, 1, 255, 3025, 6951, 1, 1, 511, 34105, 42525, 22827, 45, 1, 1, 1023, 28501, 179487, 63987, 1155, 55, 1, 1, 2047, 611501, 159027, 22275, 1705, 1, 1, 4095, 261625, 7508501, 39325, 2431, 1

Offset: 1

Rémy Sigrist, Oct 27 2021

We take the odd values in A008277, as they appear, with duplicates.

For any n >= 1, the n-th row has A007306(n) terms.

			As an irregular table, the first rows are:
     1:    1;
     2:    1, 1;
     3:    1, 3, 1;
     4:    1, 7, 1;
     5:    1, 15, 25, 1;
     6:    1, 31, 65, 15, 1;
     7:    1, 63, 301, 21, 1;
     8:    1, 127, 1701, 1;
     9:    1, 255, 3025, 6951, 1;
    10:    1, 511, 34105, 42525, 22827, 45, 1;
    11:    1, 1023, 28501, 179487, 63987, 1155, 55, 1;
    ...

Rémy Sigrist, Table of n, a(n) for n = 1..10057 (rows for n = 1..331, flattened)
Rémy Sigrist, Logarithmic scatterplot of the first 35000 terms
Index entries for sequences related to Stirling numbers

See A014421, A014428, A014450, A014459 for similar sequences.

Cf. A007306, A008277, A348650 (even numbers).

row(n) = select(v -> v%2==1, vector(n, k, stirling(n, k, 2)))

A014734 Squares of odd numbers in triangle of Eulerian numbers.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 121, 121, 1, 1, 1, 1, 3249, 3249, 1, 1, 1418481, 1418481, 1, 1, 61009, 18429849, 243953161, 243953161, 18429849, 61009, 1, 1, 1, 1, 1026169, 1026169, 1, 1, 23298053769, 23298053769, 1, 1, 16670889, 228743149441, 103788925659225

Offset: 1

Mohammad K. Azarian

Cf. A008292, A014735, A014459.

a(n) = A014459(n)^2. - Sean A. Irvine, Nov 18 2018

More terms from R. J. Mathar, Oct 21 2007

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A014450 Even numbers in the triangle of Eulerian numbers.

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A348649 Odd numbers in the triangle of Stirling numbers of the second kind (A008277).

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A014734 Squares of odd numbers in triangle of Eulerian numbers.

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