

A105343


Elements of even index in the sequence gives A005893, points on surface of tetrahedron: 2n^2 + 2 for n > 1.


1



1, 3, 4, 7, 10, 15, 20, 27, 34, 43, 52, 63, 74, 87, 100, 115, 130, 147, 164, 183, 202, 223, 244, 267, 290, 315, 340, 367, 394, 423, 452, 483, 514, 547, 580, 615, 650, 687, 724, 763, 802, 843, 884, 927, 970, 1015, 1060, 1107, 1154, 1203, 1252, 1303, 1354, 1407
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OFFSET

0,2


COMMENTS

May be seen as the jesforroktransform of the zerosequence (A000004) with respect to the floretion given in the program code.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000


FORMULA

G.f. (1+x2*x^2+x^3+x^4)/((x+1)*(1x)^3); a(n+2)  2*a(n+1) + a(n) = (1)^(n+1)*A084099(n).
a(n) = (1/4)*(2*n^2 + 9  (1)^n ), n>1.  Ralf Stephan, Jun 01 2007


PROG

Floretion Algebra Multiplication Program, FAMP Code: 2jesforrokseq[E*F*sig(E)] with E = + .5i' + .5j' + .5'ki' + .5'kj', F the sum of all floretion basis vectors and "sig" the swapoperator. RokType: Y[15] = Y[15] + Math.signum(Y[15])*p (internal program code)
(MAGMA) [1], [(1/4)*(2*n^2 + 9  (1)^n): n in [0..60]]; // Vincenzo Librandi, Oct 10 2011


CROSSREFS

Cf. A005893, A084099.
Sequence in context: A236475 A050572 A249668 * A237834 A147789 A047625
Adjacent sequences: A105340 A105341 A105342 * A105344 A105345 A105346


KEYWORD

easy,nonn


AUTHOR

Creighton Dement, Apr 30 2005


STATUS

approved



