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A102301 a(n) = ((3n+1)*2^(n+3) + 9 + (-1)^n)/18. 4
1, 4, 13, 36, 93, 228, 541, 1252, 2845, 6372, 14109, 30948, 67357, 145636, 313117, 669924, 1427229, 3029220, 6407965, 13514980, 28428061, 59652324, 124897053, 260978916, 544327453, 1133394148, 2356266781, 4891490532, 10140895005 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A floretion-generated sequence resulting from particular transform of A000975.

LINKS

Table of n, a(n) for n=0..28.

T. Etzion, On the stopping redundancy of Reed-Muller codes, IEEE Trans. Information Theory 52 (11) (2006) 4867-4879, arXiv:cs.IT/0511056.

Index entries for linear recurrences with constant coefficients, signature (4,-3,-4,4).

FORMULA

G.f. 1/((x+1)(1-x)(2x-1)^2);

a(n+1) - 2a(n) = A000975(n+2) (n-th number without consecutive equal binary digits)

a(n) + a(n+1) = A000337(n+2);

a(n+1) - a(n) = A045883(n+2);

a(n+2) - a(n) = A001787(n+3) ( Number of edges in n-dimensional hypercube );

a(n+2) - 2*a(n+1) + a(n) = A059570(n+3);

Convolution of "Number of fixed points in all 231-avoiding involutions in S_n" (A059570) with the natural numbers (A000027), treating the result as if offset=0. - Graeme McRae, Jul 12 2006

Equals triangle A059260 * A008574 as a vector, where A008574 = [1, 4, 8, 12, 16, 20,...]. - Gary W. Adamson, Mar 06 2012

PROG

Floretion Algebra Multiplication Program, FAMP Code: 2jesforseq[ + .5'i + 'kk' + .5'jk' ], 1vesforseq(n) = A000975(n+2)*(-1)^(n+1), ForType: 1A, LoopType: tes (2nd iteration)

(PARI) a(n)=((3*n+1)*2^(n+3)+9+(-1)^n)/18 \\ Charles R Greathouse IV, Oct 16 2015

CROSSREFS

Cf. A000975, A000337, A045883, A001787, A059570, A137266, A008574, A059260.

Sequence in context: A036636 A036643 A000299 * A206603 A271176 A031506

Adjacent sequences:  A102298 A102299 A102300 * A102302 A102303 A102304

KEYWORD

easy,nonn

AUTHOR

Creighton Dement, Feb 20 2005

STATUS

approved

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Last modified March 28 22:27 EDT 2017. Contains 284249 sequences.