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A140430 Associate to sequence identical to half its p-th differences.Period 6:repeat 3, 2, 4, 1, 2, 0. +0
2
3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0, 3, 2, 4, 1, 2, 0 (list; graph; listen)
OFFSET

0,1

COMMENT

Note main diagonal 3, A000079(n+1). Note also S-E diagonal 4, 1, 5, 7, 17 = 4, A014551(n+1) Jacobsthal-Lucas.

FORMULA

Corresponding square: 3, 2, 4, 1, 2, 0, 3; -1, 2, -3, 1, -2, 3, -1; 3, -5, 4, -3, 5, -4, 3; -8, 9, -7, 8, -9, 7, -8; 17, -16, 15, -17, 16, -15, 17; -33, 31, -32, 33, -31, 32, -33; 64, -63, 65, -64, 63, -65, 64; From -1,first column is A130750 signed, then link with A135356,sequence identical to its p-th differences, recurrence (3, -3, 2);from second 2,second column is A130752 signed,from -3,third column is A130755 signed,suite en trio. 3*A001045(n+1),Jacobsthal, in two South-East diagonals.

a(n)=(1/30)*{-11*(n mod 6)+14*[(n+1) mod 6]-[(n+2) mod 6]+19*[(n+3) mod 6]-6*[(n+4) mod 6]+3*[(n+5) mod 6]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jul 03 2008

CROSSREFS

Sequence in context: A127481 A154879 A097673 this_sequence A123359 A121885 A122143

Adjacent sequences: A140427 A140428 A140429 this_sequence A140431 A140432 A140433

KEYWORD

nonn,uned

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Jun 25 2008

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


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