login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A103781 Sum of any four successive terms is prime, a(1)=a(2)=0,a(3)=1. 0
0, 0, 1, 1, 1, 2, 3, 5, 3, 6, 5, 9, 9, 8, 11, 13, 11, 12, 17, 19, 13, 18, 21, 21, 19, 22, 27, 29, 23, 24, 31, 31, 27, 38, 35, 37, 29, 48, 37, 43, 35, 52, 43, 49, 37, 62, 45, 53, 39, 74, 57, 57, 41, 78, 63, 59, 51, 84, 69, 65, 53, 90, 73, 67, 63, 104, 77, 69, 67, 118, 83, 79, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

The sequence depends on initial three terms. Assuming no negative sequence we have ten distinct sets of first terms. We may denote them in short as s000,s001(=this sequence),s010,s011,s100,s101,s110,s002,s020 and s200. These sequences do not merge into each other, but maintain their individuality. E.g. terms nos. 97-100 are: {128,107,162,144},{127,107,162,145},{127,107,163,144}, 126,107,163,145},{127,108,162,144},{126,108,162,145},{126,108,163,144},{126,107,162,146},{126,107,164,144},{126,109,162,144}, for above mentioned sequences, respectively. The same is true for the case of "sum of three successive terms" A073737, where we have six distinct sets of first terms s00,s01,s10,s11(=A073737),s02 and s20.

LINKS

Table of n, a(n) for n=1..73.

MATHEMATICA

(*seed*)b4 = {0, 0, 1}; Do[x = Prime[n] - (b4[[ -1]] + b4[[ -2]] + b4[[ -3]]); b4 = Append[b4, x], {n, 1, 200}]; b4

CROSSREFS

Cf. A073737.

Sequence in context: A114230 A209753 A185191 * A095244 A147593 A108396

Adjacent sequences:  A103778 A103779 A103780 * A103782 A103783 A103784

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 15 2005

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 22 09:51 EDT 2021. Contains 348160 sequences. (Running on oeis4.)