|
Search: id:A003016
|
|
|
| A003016 |
|
Number of occurrences of n as an entry in rows <= n of Pascal's triangle (A007318).
(Formerly M0227)
|
|
+0
9
|
|
| 0, 3, 1, 2, 2, 2, 3, 2, 2, 2, 4, 2, 2, 2, 2, 4, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Or, number of occurrences of n as a binomial coefficient.
A138495 and A138496 give record values and where they occur. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 20 2008
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
H. L. Abbott, P. Erdos and D. Hanson, On the numbers of times an integer occurs as a binomial coefficient, Amer. Math. Monthly, (1974), 256-261.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 93, #47.
C. S. Ogilvy, Tomorrow's Math. 2nd ed., Oxford Univ. Press, 1972, p. 96.
D. Singmaster, How often does an integer occur as a binomial coefficient?, Amer. Math. Monthly, 78 (1971), 385-386.
|
|
LINKS
|
R. Zumkeller, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Pascal's Triangle
Index entries for triangles and arrays related to Pascal's triangle
|
|
CROSSREFS
|
Cf. A003015, A059233.
Sequence in context: A029418 A144148 A085247 this_sequence A108121 A161916 A072548
Adjacent sequences: A003013 A003014 A003015 this_sequence A003017 A003018 A003019
|
|
KEYWORD
|
nonn,nice,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Erich Friedman (erich.friedman(AT)stetson.edu)
Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 18 2007, at the suggestion of Max Alekseyev.
|
|
|
Search completed in 0.002 seconds
|
