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 A185511 Array:  row n shows numbers m such that prime(m) is in row n of the natural number array A000027, by antidiagonals. 2
 1, 4, 2, 5, 3, 6, 10, 7, 11, 8, 12, 9, 34, 17, 13, 19, 15, 44, 29, 20, 18, 22, 28, 80, 37, 23, 25, 14, 33, 40, 95, 55, 60, 67, 21, 16, 43, 51, 143, 85, 76, 110, 31, 30, 46, 47, 71, 221, 109, 194, 127, 45, 41, 145, 26, 59, 91, 243, 155, 252, 181, 61, 52, 244, 38, 24, 75, 103, 314, 175, 349, 202, 63, 72, 316, 42, 32, 27 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS If the conjecture at A185510 is true, then the A185512, as a sequence, is a permutation of the natural numbers. LINKS EXAMPLE Start with the natural number array A000027: 1...2...4...7 3...5...8..12 6...9..13..18 (The antidiagonals are 1; 2,3; 4,5,6; 7,8,9,10;...). Primes, by rows (A185510): 2.....7....11....29... in row 1 of A000027 3.....5....17....23... in row 2 13...31...139...193... in row 3, etc. Now replace each prime by its index to obtain A185511. Northwest corner: 1.....4....5...10...12...19...22...33 2.....3....7....9...15...28...40...51 6....11...34...44...80...95..143..221 8....17...29...37...55...85..109..155 13...20...23...60...76..194..252..349 MATHEMATICA f[n_, k_]:=n+(k+n-2) (k+n-1)/2; Do[t[n]={}; Do[If[PrimeQ[f[n, k]], AppendTo[t[n], f[n, k]]], {k, 1, 1000}]; t[n]; u[n]={}; Do[If[MemberQ[t[n], Prime[m]], AppendTo[u[n], m]], {m, 1, 1000}], {n, 12}] TableForm[Table[u[n], {n, 12}]] CROSSREFS Cf. A000027, A000040, A185510. Sequence in context: A243855 A267185 A065187 * A199855 A127914 A218035 Adjacent sequences:  A185508 A185509 A185510 * A185512 A185513 A185514 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Jan 29 2011 STATUS approved

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Last modified December 5 03:59 EST 2021. Contains 349530 sequences. (Running on oeis4.)