A360655 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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