A291907 -id:A291907 - cp's OEIS frontend

A023699 Numbers with a single 2 in their ternary expansion.

2, 5, 6, 7, 11, 14, 15, 16, 18, 19, 21, 22, 29, 32, 33, 34, 38, 41, 42, 43, 45, 46, 48, 49, 54, 55, 57, 58, 63, 64, 66, 67, 83, 86, 87, 88, 92, 95, 96, 97, 99, 100, 102, 103, 110, 113, 114, 115, 119, 122, 123, 124, 126, 127, 129, 130, 135, 136, 138, 139, 144, 145

Offset: 1

Olivier Gérard

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A007089, A023693, A291907.

Select[ Range[ 162 ], (Count[ IntegerDigits[ #, 3 ], 2 ]==1)& ]
Select[Range[200],DigitCount[#,3,2]==1&] (* Harvey P. Dale, Jul 26 2023 *)

A291903 Sums of the fourth powers of the descent set statistics for permutations on n elements.

Original entry on oeis.org

1, 1, 2, 34, 1576, 190216, 46479536, 21246061600, 16505196258944, 20569621110703360, 39048520577674054912, 108556407221350072075840, 427386074980323385950161920, 2317659324414032887611600999424, 16904848426143946143993568391307264, 162490636486997482412425606460112242944, 2021898321663894965658036079204603050491904

Offset: 0

Richard Ehrenborg, Sep 05 2017

nonn

			For n=4, we have a(4) = 1^4 + 3^4 + 5^4 + 3^4 + 3^4 + 5^4 + 3^4 + 1^4 = 1576.

R. Ehrenborg and A. Happ, On the powers of the descent set statistic, arXiv:1709.00778 [math.CO], 2017.

Cf. A060350, A291902, A291907, A060351.

Column k=4 of A334622.

a(n) = Sum_{j=0..ceiling(2^(n-1))-1} A060351(n,j)^4. - Alois P. Heinz, Sep 15 2020

a(0)=1 prepended by Alois P. Heinz, Sep 09 2020

cp's OEIS Frontend

A023699 Numbers with a single 2 in their ternary expansion.

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

A291903 Sums of the fourth powers of the descent set statistics for permutations on n elements.

Views

Author

Keywords

Examples

Links

Crossrefs

Formula

Extensions