|
|
A260910
|
|
Triangle read by rows: Fresenius numbers of n and A077664(n,k), k = 1..n.
|
|
3
|
|
|
-1, 1, 3, 5, 7, 11, 11, 17, 23, 29, 19, 23, 27, 31, 39, 29, 49, 59, 79, 89, 109, 41, 47, 53, 59, 65, 71, 83, 55, 69, 83, 97, 111, 125, 139, 153, 71, 79, 95, 103, 119, 127, 143, 151, 167, 89, 107, 143, 161, 179, 197, 233, 251, 269, 287, 109, 119, 129, 139
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
For n > 1: T(n,1) = A028387(n-2).
|
|
LINKS
|
Reinhard Zumkeller, Rows n = 1..125 of triangle, flattened
Eric Weisstein's World of Mathematics, Frobenius Number.
Wikipedia, Coin problem
|
|
FORMULA
|
T(n,k) = (n-1) * A077664(n,k) - n.
|
|
EXAMPLE
|
. 1: -1
. 2: 1 3
. 3: 5 7 11
. 4: 11 17 23 29
. 5: 19 23 27 31 39
. 6: 29 49 59 79 89 109
. 7: 41 47 53 59 65 71 83
. 8: 55 69 83 97 111 125 139 153
. 9: 71 79 95 103 119 127 143 151 167
. 10: 89 107 143 161 179 197 233 251 269 287
. 11: 109 119 129 139 149 159 169 179 189 199 219
. 12: 131 175 197 241 263 307 329 373 395 439 461 505 .
|
|
PROG
|
(Haskell)
a260910 n k = a260910_tabl !! (n - 1) !! (k-1)
a260910_row n = a260910_tabl !! (n-1)
a260910_tabl = zipWith (map . sylvester) [1..] a077664_tabl where
sylvester u v = u * v - u - v
|
|
CROSSREFS
|
Cf. A077664, A028387.
Sequence in context: A123252 A066168 A215464 * A109908 A152212 A249370
Adjacent sequences: A260907 A260908 A260909 * A260911 A260912 A260913
|
|
KEYWORD
|
sign,tabl
|
|
AUTHOR
|
Reinhard Zumkeller, Aug 04 2015
|
|
STATUS
|
approved
|
|
|
|