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 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A270535 Integers n such that A001359(n) + A001359(n+3) = A001359(n+1) + A001359(n+2). 1
 5, 8, 10, 11, 15, 16, 17, 27, 36, 68, 69, 71, 111, 132, 189, 200, 212, 214, 234, 252, 262, 279, 317, 332, 343, 344, 364, 424, 426, 500, 506, 518, 520, 543, 563, 577, 606, 620, 658, 672, 696, 697, 737, 766, 882, 907, 982, 1009, 1064, 1087, 1089, 1091, 1162, 1164, 1172, 1226, 1256, 1268 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Integers n such that A006512(n) + A006512(n+3) = A006512(n+1) + A006512(n+2). Integers n such that A014574(n) + A014574(n+3) = A014574(n+1) + A014574(n+2). LINKS Table of n, a(n) for n=1..58. EXAMPLE 5 is a term because A001359(5) = 29, A001359(6) = 41, A001359(7) = 59, A001359(8) = 71 and 29 + 71 = 41 + 59. MATHEMATICA s = Select[Prime@ Range[10^6], PrimeQ[# + 2] &]; Select[Range@ 1300, s[[#]] + s[[# + 3]] == s[[# + 1]] + s[[# + 2]] &] (* after Robert G. Wilson v at A001359 *) PROG (PARI) t(n, p=3) = { while( p+2 < (p=nextprime( p+1 )) || n-->0, ); p-2} b(n) = t(n) + t(n+3) - t(n+1) - t(n+2); for(n=1, 2000, if(b(n) == 0, print1(n, ", "))); CROSSREFS Cf. A001359, A006512, A014574, A053319. Sequence in context: A121901 A024707 A156288 * A287110 A194425 A314376 Adjacent sequences: A270532 A270533 A270534 * A270536 A270537 A270538 KEYWORD nonn AUTHOR Altug Alkan, Mar 18 2016 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 10 22:38 EST 2023. Contains 367717 sequences. (Running on oeis4.)