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A113243 Differences of nonzero tetranacci numbers. +0
2
0, 1, 2, 3, 4, 6, 7, 11, 13, 14, 21, 25, 27, 28, 41, 48, 52, 54, 55, 79, 93, 100, 104, 106, 107, 152, 179, 193, 200, 204, 206, 207, 293, 345, 372, 386, 393, 397, 399, 400, 565, 665, 717, 744, 758, 765, 769, 771, 772, 1089, 1282, 1382, 1434, 1461, 1475, 1482 (list; graph; listen)
OFFSET

1,3

COMMENT

A113244 is the primes in the above sequence; namely prime differences of tetranacci numbers. Perfect powers in this sequence include: 4 = 2^2, 25 = 5^2, 27 = 3^3, 100 = 10^2 = 2^2 * 5^2, 400 = 20^2 = 2^4 * 5^2, 1089 = 33^2 = 3^2 * 11^2. A113188-A113194 deal with difference sets of Fibonacci numbers and Lucas numbers, and primes in those difference sets. A113238-A113239 deal with the difference set of tribonacci numbers and primes in that difference set.

FORMULA

{a(n)} = { A000078(i) - A000078(j) such that i>=j}. {a(n)} = nonnegative elements of the difference set of tetranacci sequence A000078.

CROSSREFS

Cf. A000040, A000078, A113188-A113194, A113238, A113239, A113244.

Adjacent sequences: A113240 A113241 A113242 this_sequence A113244 A113245 A113246

Sequence in context: A036470 A111243 A108917 this_sequence A130690 A074885 A091336

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Oct 19 2005; corrected Oct 20 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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