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A103781
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Sum of any four successive terms is prime, a(1)=a(2)=0,a(3)=1.
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0
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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
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OFFSET
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1,6
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=1..73.
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MATHEMATICA
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(*seed*)b4 = {0, 0, 1}; Do[x = Prime[n] - (b4[[ -1]] + b4[[ -2]] + b4[[ -3]]); b4 = Append[b4, x], {n, 1, 200}]; b4
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CROSSREFS
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Cf. A073737.
Sequence in context: A114230 A209753 A185191 * A095244 A147593 A108396
Adjacent sequences: A103778 A103779 A103780 * A103782 A103783 A103784
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov, Feb 15 2005
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STATUS
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approved
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