A014450 -id:A014450 - cp's OEIS frontend

A051474 (Terms in A014450)/2.

2, 13, 33, 13, 151, 151, 60, 1208, 60, 251, 7304, 44117, 78095, 44117, 7304, 251, 23920, 227596, 655177, 655177, 227596, 23920, 1018, 1101744, 4869057, 7862124, 4869057, 1101744, 1018, 33159237, 81256143, 81256143, 33159237, 4089, 739863

Offset: 0

James Sellers

nonn

A014450, A008292.

A014459 Odd numbers in the triangle of Eulerian numbers.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 11, 11, 1, 1, 1, 1, 57, 57, 1, 1, 1191, 1191, 1, 1, 247, 4293, 15619, 15619, 4293, 247, 1, 1, 1, 1, 1013, 1013, 1, 1, 152637, 152637, 1, 1, 4083, 478271, 10187685, 10187685, 478271, 4083, 1, 1, 423281535, 423281535, 1, 1, 16369

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..10071

Cf. A008292, A014450.

More terms from James Sellers

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)))

A014733 Squares of even numbers in triangle of Eulerian numbers.

Original entry on oeis.org

16, 676, 4356, 676, 91204, 91204, 14400, 5837056, 14400, 252004, 213393664, 7785238756, 24395316100, 7785238756, 213393664, 252004, 2288665600, 207199756864, 1717027605316, 1717027605316, 207199756864, 2288665600

Offset: 1

Mohammad K. Azarian

Cf. A008292, A014450.

a(n) = A014450(n)^2. - Sean A. Irvine, Nov 18 2018

More terms from James Sellers

Offset corrected by Joerg Arndt, Nov 19 2018

cp's OEIS Frontend

A051474 (Terms in A014450)/2.

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A014459 Odd 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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A014733 Squares of even numbers in triangle of Eulerian numbers.

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