|
Search: id:A075573
|
|
|
| A075573 |
|
a(1)=1; a(n) is the smallest positive number not occurring earlier, with different parity from a(n-1), such that sum of any subsequence of two or more consecutive terms is composite. |
|
+0
2
|
|
| 1, 8, 7, 18, 15, 6, 3, 36, 21, 30, 9, 16, 5, 44, 25, 24, 27, 60, 39, 42, 33, 66, 69, 26, 37, 48, 57, 12, 51, 14, 49, 84, 63, 90, 99, 120, 81, 126, 29, 4, 95, 22, 93, 102, 129, 72, 75, 132, 111, 108, 45, 96, 141, 114, 105, 150, 171, 54, 135, 168, 123, 78, 177, 144, 117
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The sequence is infinite. To extend it from the first N terms, one seeks a constellation of composite numbers, of the right parity, whose span is no greater than the sum of the first N terms, S(N). There are infinitely many sequences, of consecutive composite numbers, of length S(N)+1 (indeed, any particular length); and each of those contains a sequence of length S(N) with the right parity. One of those must suffice and that puts an upper-bound on the N+1'st term. - Don Reble (djr(AT)nk.ca), Oct 02 2002
|
|
CROSSREFS
|
Sequence in context: A094082 A019326 A051011 this_sequence A166138 A126937 A090099
Adjacent sequences: A075570 A075571 A075572 this_sequence A075574 A075575 A075576
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 25 2002
|
|
EXTENSIONS
|
More terms from Don Reble (djr(AT)nk.ca), Oct 02 2002
|
|
|
Search completed in 0.002 seconds
|
