A360655 - OEIS

A360655

Irregular table read by rows; for n > 1, the n-th row lists the numbers of the form binomial(m+1, k) such that binomial(m, k) = n.

3, 4, 6, 5, 10, 6, 15, 7, 10, 21, 8, 28, 9, 36, 10, 45, 11, 15, 20, 55, 12, 66, 13, 78, 14, 91, 15, 105, 16, 21, 35, 120, 17, 136, 18, 153, 19, 171, 20, 190, 21, 35, 210, 22, 28, 56, 231, 23, 253, 24, 276, 25, 300, 26, 325, 27, 351, 28, 378, 29, 36, 84, 406, 30, 435

(list; graph; refs; listen; history; text; internal format)

OFFSET

2,1

COMMENTS

In other words, the n-th rows lists the numbers that appear directly below n in Pascal's triangle (A007318).

The n-th row starts with n+1.

LINKS

Table of n, a(n) for n=2..66.

Rémy Sigrist, PARI program

Index entries for triangles and arrays related to Pascal's triangle

EXAMPLE

Table begins:

n n-th row

-- --------------

2 3

3 4, 6

4 5, 10

5 6, 15

6 7, 10, 21

7 8, 28

8 9, 36

9 10, 45

10 11, 15, 20, 55

11 12, 66

12 13, 78

For n = 6:

Pascal's triangle begins:

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

the value 6 appears in row 3 above 10, and in row 6 above 7 and 21,

so the 6th row contains 7, 10 and 21.

PROG

(PARI) See Links section.

CROSSREFS

Cf. A007318, A360653, A360654.

Sequence in context: A057757 A336717 A332361 * A058838 A349372 A001177

Adjacent sequences: A360652 A360653 A360654 * A360656 A360657 A360658

KEYWORD

nonn,tabf

AUTHOR

Rémy Sigrist, Feb 15 2023

STATUS

approved