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A102841 27a(n) = (9n^2 + 33n + 26)2^n + (-1)^n. 0
1, 5, 19, 61, 179, 493, 1299, 3309, 8211, 19949, 47635, 112109, 260627, 599533, 1366547, 3089901, 6937107, 15476205, 34331155, 75769325, 166451731, 364127725, 793500179, 1723082221, 3729512979, 8048092653, 17319057939 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A floretion-generated sequence relating the number of edges and faces in n-dimensional hypercube.

Contribution from Gary W. Adamson, May 23 2009: (Start)

Equals A001787, (1, 4, 12, 32, 80,...) convolved with A001045,

the Jacobsthal sequence. (End)

LINKS

Table of n, a(n) for n=0..26.

FORMULA

G.f. 1/((1+x)(1-2x)^3); a(n+1) - 2a(n) = A045883(n+2) (PSumSIGN transform of number of edges in n-dimensional hypercube); SuperSeeker results: a(n) + a(n+1) = A001788(n+2) (Number of 2-dimensional faces in (n+1)-dimensional hypercube ); a(n+2) - a(n) = A001793(n+3)_1 (Coefficients of Chebyshev polynomials)

PROG

Floretion Algebra Multiplication Program, FAMP Code: 1jesforseq[ + .5'k + .5j' + .5'ii' + .5'jk' ], 1vesforseq = A045883(n+2)(-1)^n; ForType 1A, LoopType: transform the constant sequence 1, 1, 1, - then iterate tesforseq ((a(n)) is 2nd iteration )

CROSSREFS

Cf. A045883, A001788, A001793, A102301.

A001787, A001045 [From Gary W. Adamson, May 23 2009]

Sequence in context: A189714 A128638 A036630 * A036637 A036644 A000342

Adjacent sequences:  A102838 A102839 A102840 * A102842 A102843 A102844

KEYWORD

nonn

AUTHOR

Creighton Dement, Feb 27 2005

EXTENSIONS

Corrected by T. D. Noe, Nov 08 2006

STATUS

approved

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Last modified March 26 00:51 EDT 2017. Contains 284111 sequences.